18952739942400 has 1872 divisors, whose sum is σ = 77198931278560. Its totient is φ = 4554620928000.

The previous prime is 18952739942399. The next prime is 18952739942417. The reversal of 18952739942400 is 424993725981.

18952739942400 is a `hidden beast` number, since 1 + 8 + 9 + 52 + 73 + 99 + 424 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60551884644 + ... + 60551884956.

Almost surely, 2^{18952739942400} is an apocalyptic number.

18952739942400 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 18952739942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38599465639280).

18952739942400 is an abundant number, since it is smaller than the sum of its proper divisors (58246191336160).

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

18952739942400 is a wasteful number, since it uses less digits than its factorization.

18952739942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 18952739942400 in words is "eighteen trillion, nine hundred fifty-two billion, seven hundred thirty-nine million, nine hundred forty-two thousand, four hundred".