10521110400 has 192 divisors, whose sum is σ = 35130958320. Its totient is φ = 2767011840.

The previous prime is 10521110393. The next prime is 10521110417. The reversal of 10521110400 is 401112501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10521110400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10521110400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693294 + ... + 708306.

Almost surely, 2^10521110400 is an apocalyptic number.

10521110400 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 10521110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17565479160).

10521110400 is an abundant number, since it is smaller than the sum of its proper divisors (24609847920).

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

10521110400 is a wasteful number, since it uses less digits than its factorization.

10521110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15113 (or 15096 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 10521110400 its reverse (401112501), we get a palindrome (10922222901).

The spelling of 10521110400 in words is "ten billion, five hundred twenty-one million, one hundred ten thousand, four hundred".