90388056251584 has 560 divisors, whose sum is σ = 232887823784000. Its totient is φ = 34791482299392.

The previous prime is 90388056251573. The next prime is 90388056251587. The reversal of 90388056251584 is 48515265088309.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 90388056251584 = 5920³ + 44844³ = 34632³ + 36556³.

It is not an unprimeable number, because it can be changed into a prime (90388056251587) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2442920439214 + ... + 2442920439250.

It is an arithmetic number, because the mean of its divisors is an integer number (415871113900).

Almost surely, 2^{90388056251584} 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 90388056251584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116443911892000).

90388056251584 is an abundant number, since it is smaller than the sum of its proper divisors (142499767532416).

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

90388056251584 is an frugal number, since it uses more digits than its factorization.

90388056251584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 64.

The spelling of 90388056251584 in words is "ninety trillion, three hundred eighty-eight billion, fifty-six million, two hundred fifty-one thousand, five hundred eighty-four".