27759402972 has 384 divisors, whose sum is σ = 90488832000. Its totient is φ = 7334712000.

The previous prime is 27759402961. The next prime is 27759402989. The reversal of 27759402972 is 27920495772.

It is a happy number.

27759402972 is a `hidden beast` number, since 27 + 7 + 594 + 0 + 29 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26411847 + ... + 26412897.

It is an arithmetic number, because the mean of its divisors is an integer number (235648000).

Almost surely, 2^27759402972 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 27759402972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45244416000).

27759402972 is an abundant number, since it is smaller than the sum of its proper divisors (62729429028).

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

27759402972 is a wasteful number, since it uses less digits than its factorization.

27759402972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 27759402972 in words is "twenty-seven billion, seven hundred fifty-nine million, four hundred two thousand, nine hundred seventy-two".