90657216000 has 480 divisors, whose sum is σ = 351677053728. Its totient is φ = 22313779200.

The previous prime is 90657215981. The next prime is 90657216011. The reversal of 90657216000 is 61275609.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7481947 + ... + 7494053.

Almost surely, 2^90657216000 is an apocalyptic number.

90657216000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90657216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175838526864).

90657216000 is an abundant number, since it is smaller than the sum of its proper divisors (261019837728).

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

90657216000 is a wasteful number, since it uses less digits than its factorization.

90657216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12159 (or 12130 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 90657216000 in words is "ninety billion, six hundred fifty-seven million, two hundred sixteen thousand".