10553863824 has 135 divisors (see below), whose sum is σ = 34386507363. Its totient is φ = 3012924096.

The previous prime is 10553863819. The next prime is 10553863843. The reversal of 10553863824 is 42836835501.

The square root of 10553863824 is 102732.

It is a perfect power (a square), and thus also a powerful number.

10553863824 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 3 + 8 + 638 + 2 + 4 = 666.

It is a super-2 number, since 2×10553863824² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10553863824.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8628877 + ... + 8630099.

Almost surely, 2^10553863824 is an apocalyptic number.

10553863824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10553863824 is the 102732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10553863824

10553863824 is an abundant number, since it is smaller than the sum of its proper divisors (23832643539).

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

10553863824 is an equidigital number, since it uses as much as digits as its factorization.

10553863824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 10553863824 in words is "ten billion, five hundred fifty-three million, eight hundred sixty-three thousand, eight hundred twenty-four".