90506455488 has 140 divisors (see below), whose sum is σ = 269362242072. Its totient is φ = 30048192000.

The previous prime is 90506455469. The next prime is 90506455489. The reversal of 90506455488 is 88455460509.

90506455488 is a `hidden beast` number, since 9 + 0 + 5 + 0 + 6 + 4 + 554 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90506455489) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1266406 + ... + 1335962.

Almost surely, 2^90506455488 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 90506455488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134681121036).

90506455488 is an abundant number, since it is smaller than the sum of its proper divisors (178855786584).

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

90506455488 is a wasteful number, since it uses less digits than its factorization.

90506455488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69832 (or 69813 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 90506455488 in words is "ninety billion, five hundred six million, four hundred fifty-five thousand, four hundred eighty-eight".