538853968800 has 1152 divisors, whose sum is σ = 2367748454400. Its totient is φ = 115527720960.

The previous prime is 538853968789. The next prime is 538853968813. The reversal of 538853968800 is 8869358835.

538853968800 is a `hidden beast` number, since 5 + 38 + 8 + 539 + 68 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×538853968800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 307388724 + ... + 307390476.

It is an arithmetic number, because the mean of its divisors is an integer number (2055337200).

Almost surely, 2^538853968800 is an apocalyptic number.

538853968800 is a gapful number since it is divisible by the number (50) 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 538853968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183874227200).

538853968800 is an abundant number, since it is smaller than the sum of its proper divisors (1828894485600).

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

538853968800 is a wasteful number, since it uses less digits than its factorization.

538853968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 538853968800 in words is "five hundred thirty-eight billion, eight hundred fifty-three million, nine hundred sixty-eight thousand, eight hundred".