52715174400 has 360 divisors, whose sum is σ = 215606792544. Its totient is φ = 12048998400.

The previous prime is 52715174381. The next prime is 52715174417. The reversal of 52715174400 is 447151725.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×52715174400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 773715 + ... + 839085.

Almost surely, 2^52715174400 is an apocalyptic number.

52715174400 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 52715174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107803396272).

52715174400 is an abundant number, since it is smaller than the sum of its proper divisors (162891618144).

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

52715174400 is a wasteful number, since it uses less digits than its factorization.

52715174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65412 (or 65388 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 52715174400 in words is "fifty-two billion, seven hundred fifteen million, one hundred seventy-four thousand, four hundred".