90689991250320 has 3840 divisors, whose sum is σ = 420025669779456. Its totient is φ = 17122801766400.

The previous prime is 90689991250301. The next prime is 90689991250337. The reversal of 90689991250320 is 2305219998609.

90689991250320 is a `hidden beast` number, since 9 + 0 + 6 + 8 + 9 + 99 + 12 + 503 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 320459332899 + ... + 320459333181.

Almost surely, 2^{90689991250320} is an apocalyptic number.

90689991250320 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 90689991250320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210012834889728).

90689991250320 is an abundant number, since it is smaller than the sum of its proper divisors (329335678529136).

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

90689991250320 is a wasteful number, since it uses less digits than its factorization.

90689991250320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 90689991250320 in words is "ninety trillion, six hundred eighty-nine billion, nine hundred ninety-one million, two hundred fifty thousand, three hundred twenty".