10511511320000 has 280 divisors, whose sum is σ = 26328221084880. Its totient is φ = 4162339840000.

The previous prime is 10511511319973. The next prime is 10511511320003. The reversal of 10511511320000 is 2311511501.

It is a happy number.

It is a super-2 number, since 2×10511511320000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10511511320003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2131717535 + ... + 2131722465.

Almost surely, 2^{10511511320000} is an apocalyptic number.

10511511320000 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 10511511320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13164110542440).

10511511320000 is an abundant number, since it is smaller than the sum of its proper divisors (15816709764880).

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

10511511320000 is an equidigital number, since it uses as much as digits as its factorization.

10511511320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5489 (or 5464 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 10511511320000 its reverse (2311511501), we get a palindrome (10513822831501).

The spelling of 10511511320000 in words is "ten trillion, five hundred eleven billion, five hundred eleven million, three hundred twenty thousand".