10521753408 has 168 divisors, whose sum is σ = 30840151680. Its totient is φ = 3428904960.

The previous prime is 10521753391. The next prime is 10521753413. The reversal of 10521753408 is 80435712501.

10521753408 is a `hidden beast` number, since 105 + 2 + 17 + 534 + 0 + 8 = 666.

It is a super-2 number, since 2×10521753408² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4867848 + ... + 4870008.

Almost surely, 2^10521753408 is an apocalyptic number.

10521753408 is a gapful number since it is divisible by the number (18) 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 10521753408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15420075840).

10521753408 is an abundant number, since it is smaller than the sum of its proper divisors (20318398272).

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

10521753408 is a wasteful number, since it uses less digits than its factorization.

10521753408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 10521753408 in words is "ten billion, five hundred twenty-one million, seven hundred fifty-three thousand, four hundred eight".