27512979264 has 224 divisors, whose sum is σ = 81992663040. Its totient is φ = 9046162944.

The previous prime is 27512979259. The next prime is 27512979281. The reversal of 27512979264 is 46297921572.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 27512979264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62105827 + ... + 62106269.

Almost surely, 2^27512979264 is an apocalyptic number.

27512979264 is a gapful number since it is divisible by the number (24) 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 27512979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40996331520).

27512979264 is an abundant number, since it is smaller than the sum of its proper divisors (54479683776).

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

27512979264 is a wasteful number, since it uses less digits than its factorization.

27512979264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 858 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 27512979264 in words is "twenty-seven billion, five hundred twelve million, nine hundred seventy-nine thousand, two hundred sixty-four".