90199713996 has 480 divisors, whose sum is σ = 286590323712. Its totient is φ = 24203266560.

The previous prime is 90199713991. The next prime is 90199714019. The reversal of 90199713996 is 69931799109.

90199713996 is a `hidden beast` number, since 90 + 1 + 99 + 71 + 399 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (90199713991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 342964561 + ... + 342964823.

Almost surely, 2^90199713996 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 90199713996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143295161856).

90199713996 is an abundant number, since it is smaller than the sum of its proper divisors (196390609716).

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

90199713996 is a wasteful number, since it uses less digits than its factorization.

90199713996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 7440174, while the sum is 63.

The spelling of 90199713996 in words is "ninety billion, one hundred ninety-nine million, seven hundred thirteen thousand, nine hundred ninety-six".