538616678400 has 864 divisors, whose sum is σ = 1987629658560. Its totient is φ = 139345920000.

The previous prime is 538616678387. The next prime is 538616678423. The reversal of 538616678400 is 4876616835.

538616678400 is a `hidden beast` number, since 5 + 3 + 8 + 6 + 166 + 78 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3304396719 + ... + 3304396881.

It is an arithmetic number, because the mean of its divisors is an integer number (2300497290).

Almost surely, 2^538616678400 is an apocalyptic number.

538616678400 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 538616678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993814829280).

538616678400 is an abundant number, since it is smaller than the sum of its proper divisors (1449012980160).

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

538616678400 is a wasteful number, since it uses less digits than its factorization.

538616678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 538616678400 in words is "five hundred thirty-eight billion, six hundred sixteen million, six hundred seventy-eight thousand, four hundred".