27979588334880 has 480 divisors, whose sum is σ = 121531858043904. Its totient is φ = 5903385421824.

The previous prime is 27979588334849. The next prime is 27979588334977. The reversal of 27979588334880 is 8843388597972.

27979588334880 is a `hidden beast` number, since 2 + 7 + 9 + 7 + 9 + 58 + 83 + 3 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×27979588334880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 27979588334880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10682832 + ... + 13041551.

Almost surely, 2^{27979588334880} is an apocalyptic number.

27979588334880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27979588334880 is an abundant number, since it is smaller than the sum of its proper divisors (93552269709024).

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

27979588334880 is a wasteful number, since it uses less digits than its factorization.

27979588334880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23724430 (or 23724413 counting only the distinct ones).

The product of its (nonzero) digits is 5852528640, while the sum is 81.

The spelling of 27979588334880 in words is "twenty-seven trillion, nine hundred seventy-nine billion, five hundred eighty-eight million, three hundred thirty-four thousand, eight hundred eighty".