27552391406496 has 576 divisors, whose sum is σ = 91044450282240. Its totient is φ = 7820839403520.

The previous prime is 27552391406479. The next prime is 27552391406509. The reversal of 27552391406496 is 69460419325572.

It is a happy number.

27552391406496 is a `hidden beast` number, since 2 + 7 + 5 + 52 + 3 + 91 + 4 + 0 + 6 + 496 = 666.

It is a super-2 number, since 2×27552391406496² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2151011740 + ... + 2151024548.

It is an arithmetic number, because the mean of its divisors is an integer number (158063281740).

Almost surely, 2^{27552391406496} 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 27552391406496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45522225141120).

27552391406496 is an abundant number, since it is smaller than the sum of its proper divisors (63492058875744).

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

27552391406496 is a wasteful number, since it uses less digits than its factorization.

27552391406496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13469 (or 13458 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 27552391406496 in words is "twenty-seven trillion, five hundred fifty-two billion, three hundred ninety-one million, four hundred six thousand, four hundred ninety-six".