90958886172 has 864 divisors, whose sum is σ = 325198508544. Its totient is φ = 21678243840.

The previous prime is 90958886167. The next prime is 90958886201. The reversal of 90958886172 is 27168885909.

It is a happy number.

90958886172 is a `hidden beast` number, since 9 + 0 + 9 + 5 + 8 + 8 + 8 + 617 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 937720428 + ... + 937720524.

Almost surely, 2^90958886172 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 90958886172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162599254272).

90958886172 is an abundant number, since it is smaller than the sum of its proper divisors (234239622372).

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

90958886172 is a wasteful number, since it uses less digits than its factorization.

90958886172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 90958886172 in words is "ninety billion, nine hundred fifty-eight million, eight hundred eighty-six thousand, one hundred seventy-two".