10523520000 has 1100 divisors, whose sum is σ = 46426451280. Its totient is φ = 2322432000.

The previous prime is 10523519977. The next prime is 10523520001. The reversal of 10523520000 is 2532501.

It is a happy number.

It is a super-2 number, since 2×10523520000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10523520001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 362879986 + ... + 362880014.

Almost surely, 2^10523520000 is an apocalyptic number.

10523520000 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 10523520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23213225640).

10523520000 is an abundant number, since it is smaller than the sum of its proper divisors (35902931280).

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

10523520000 is an frugal number, since it uses more digits than its factorization.

10523520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The spelling of 10523520000 in words is "ten billion, five hundred twenty-three million, five hundred twenty thousand".