27913774694400 has 1584 divisors, whose sum is σ = 118889229810624. Its totient is φ = 6359907041280.

The previous prime is 27913774694357. The next prime is 27913774694413. The reversal of 27913774694400 is 449647731972.

27913774694400 is a `hidden beast` number, since 2 + 7 + 9 + 137 + 7 + 4 + 6 + 94 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89181388644 + ... + 89181388956.

Almost surely, 2^{27913774694400} is an apocalyptic number.

27913774694400 is a gapful number since it is divisible by the number (20) 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 27913774694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59444614905312).

27913774694400 is an abundant number, since it is smaller than the sum of its proper divisors (90975455116224).

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

27913774694400 is an frugal number, since it uses more digits than its factorization.

27913774694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 27913774694400 in words is "twenty-seven trillion, nine hundred thirteen billion, seven hundred seventy-four million, six hundred ninety-four thousand, four hundred".