10485995520 has 1152 divisors, whose sum is σ = 46847324160. Its totient is φ = 1946419200.

The previous prime is 10485995501. The next prime is 10485995521. The reversal of 10485995520 is 2559958401.

It is a super-2 number, since 2×10485995520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10485995520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10485995521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 338257905 + ... + 338257935.

It is an arithmetic number, because the mean of its divisors is an integer number (40666080).

Almost surely, 2^10485995520 is an apocalyptic number.

10485995520 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 10485995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23423662080).

10485995520 is an abundant number, since it is smaller than the sum of its proper divisors (36361328640).

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

10485995520 is a wasteful number, since it uses less digits than its factorization.

10485995520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 48.

The spelling of 10485995520 in words is "ten billion, four hundred eighty-five million, nine hundred ninety-five thousand, five hundred twenty".