27913797239832 has 512 divisors, whose sum is σ = 92097637632000. Its totient is φ = 7664608143360.

The previous prime is 27913797239813. The next prime is 27913797239857. The reversal of 27913797239832 is 23893279731972.

27913797239832 is a `hidden beast` number, since 2 + 7 + 9 + 137 + 9 + 72 + 398 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9439902898 + ... + 9439905854.

It is an arithmetic number, because the mean of its divisors is an integer number (179878198500).

Almost surely, 2^{27913797239832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27913797239832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46048818816000).

27913797239832 is an abundant number, since it is smaller than the sum of its proper divisors (64183840392168).

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

27913797239832 is a wasteful number, since it uses less digits than its factorization.

27913797239832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936 (or 3926 counting only the distinct ones).

The product of its digits is 432081216, while the sum is 72.

The spelling of 27913797239832 in words is "twenty-seven trillion, nine hundred thirteen billion, seven hundred ninety-seven million, two hundred thirty-nine thousand, eight hundred thirty-two".