90207113839920 has 2880 divisors, whose sum is σ = 410981695488000. Its totient is φ = 17302687395840.

The previous prime is 90207113839847. The next prime is 90207113840029. The reversal of 90207113839920 is 2993831170209.

90207113839920 is a `hidden beast` number, since 9 + 0 + 207 + 11 + 38 + 399 + 2 + 0 = 666.

It is a super-3 number, since 3×90207113839920³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 86821090761 + ... + 86821091799.

It is an arithmetic number, because the mean of its divisors is an integer number (142701977600).

Almost surely, 2^{90207113839920} is an apocalyptic number.

90207113839920 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 90207113839920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205490847744000).

90207113839920 is an abundant number, since it is smaller than the sum of its proper divisors (320774581648080).

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

90207113839920 is a wasteful number, since it uses less digits than its factorization.

90207113839920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 90207113839920 in words is "ninety trillion, two hundred seven billion, one hundred thirteen million, eight hundred thirty-nine thousand, nine hundred twenty".