90257982642 has 80 divisors (see below), whose sum is σ = 204848183232. Its totient is φ = 29699304480.

The previous prime is 90257982629. The next prime is 90257982697. The reversal of 90257982642 is 24628975209.

90257982642 is a `hidden beast` number, since 9 + 0 + 2 + 579 + 8 + 2 + 64 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25021203 + ... + 25024809.

Almost surely, 2^90257982642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90257982642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102424091616).

90257982642 is an abundant number, since it is smaller than the sum of its proper divisors (114590200590).

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

90257982642 is a wasteful number, since it uses less digits than its factorization.

90257982642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5565 (or 5556 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 90257982642 in words is "ninety billion, two hundred fifty-seven million, nine hundred eighty-two thousand, six hundred forty-two".