90527827614400 has 84 divisors (see below), whose sum is σ = 243005493673080. Its totient is φ = 32919210035200.

The previous prime is 90527827614377. The next prime is 90527827614449. The reversal of 90527827614400 is 441672872509.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2571795685 + ... + 2571830884.

Almost surely, 2^{90527827614400} is an apocalyptic number.

It is an amenable number.

90527827614400 is an abundant number, since it is smaller than the sum of its proper divisors (152477666058680).

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

90527827614400 is a wasteful number, since it uses less digits than its factorization.

90527827614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5143626602 (or 5143626587 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 90527827614400 in words is "ninety trillion, five hundred twenty-seven billion, eight hundred twenty-seven million, six hundred fourteen thousand, four hundred".