623256152400000 has 3840 divisors, whose sum is σ = 2754558096998400. Its totient is φ = 136926028800000.

The previous prime is 623256152399989. The next prime is 623256152400019. The reversal of 623256152400000 is 4251652326.

623256152400000 is a `hidden beast` number, since 6 + 2 + 3 + 2 + 561 + 52 + 40 + 0 + 0 + 0 + 0 = 666.

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 479 ways as a sum of consecutive naturals, for example, 628916399505 + ... + 628916400495.

It is an arithmetic number, because the mean of its divisors is an integer number (717332837760).

Almost surely, 2^{623256152400000} is an apocalyptic number.

623256152400000 is a gapful number since it is divisible by the number (60) 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 623256152400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377279048499200).

623256152400000 is an abundant number, since it is smaller than the sum of its proper divisors (2131301944598400).

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

623256152400000 is an frugal number, since it uses more digits than its factorization.

623256152400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 623256152400000 in words is "six hundred twenty-three trillion, two hundred fifty-six billion, one hundred fifty-two million, four hundred thousand".