52074091238400 has 2376 divisors, whose sum is σ = 235198466543040. Its totient is φ = 10775376691200.

The previous prime is 52074091238357. The next prime is 52074091238461. The reversal of 52074091238400 is 483219047025.

52074091238400 is a `hidden beast` number, since 5 + 2 + 0 + 7 + 4 + 0 + 9 + 1 + 238 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 67716633216 + ... + 67716633984.

Almost surely, 2^{52074091238400} is an apocalyptic number.

52074091238400 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 52074091238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117599233271520).

52074091238400 is an abundant number, since it is smaller than the sum of its proper divisors (183124375304640).

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

52074091238400 is a wasteful number, since it uses less digits than its factorization.

52074091238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 52074091238400 in words is "fifty-two trillion, seventy-four billion, ninety-one million, two hundred thirty-eight thousand, four hundred".