152827718400 has 648 divisors, whose sum is σ = 644646073344. Its totient is φ = 33802444800.

The previous prime is 152827718387. The next prime is 152827718443. The reversal of 152827718400 is 4817728251.

152827718400 is a `hidden beast` number, since 1 + 528 + 2 + 77 + 18 + 40 + 0 = 666.

It is a super-2 number, since 2×152827718400² (a number of 23 digits) contains 22 as substring.

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

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, 12493087 + ... + 12505313.

Almost surely, 2^152827718400 is an apocalyptic number.

152827718400 is a gapful number since it is divisible by the number (10) 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 152827718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322323036672).

152827718400 is an abundant number, since it is smaller than the sum of its proper divisors (491818354944).

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

152827718400 is a wasteful number, since it uses less digits than its factorization.

152827718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12297 (or 12275 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 152827718400 in words is "one hundred fifty-two billion, eight hundred twenty-seven million, seven hundred eighteen thousand, four hundred".