10511507220480 has 2592 divisors, whose sum is σ = 45867235115520. Its totient is φ = 2302551982080.

The previous prime is 10511507220463. The next prime is 10511507220493. The reversal of 10511507220480 is 8402270511501.

It is a happy number.

10511507220480 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 150 + 7 + 2 + 20 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-4 number, since 4×10511507220480⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 102053468109 + ... + 102053468211.

It is an arithmetic number, because the mean of its divisors is an integer number (17695692560).

Almost surely, 2^{10511507220480} is an apocalyptic number.

10511507220480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10511507220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22933617557760).

10511507220480 is an abundant number, since it is smaller than the sum of its proper divisors (35355727895040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10511507220480 is an frugal number, since it uses more digits than its factorization.

10511507220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

Adding to 10511507220480 its reverse (8402270511501), we get a palindrome (18913777731981).

The spelling of 10511507220480 in words is "ten trillion, five hundred eleven billion, five hundred seven million, two hundred twenty thousand, four hundred eighty".