90681999936000 has 960 divisors, whose sum is σ = 339481686031488. Its totient is φ = 21447106560000.

The previous prime is 90681999935987. The next prime is 90681999936037. The reversal of 90681999936000 is 63999918609.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×90681999936000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 952464399 + ... + 952559601.

Almost surely, 2^{90681999936000} 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 90681999936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169740843015744).

90681999936000 is an abundant number, since it is smaller than the sum of its proper divisors (248799686095488).

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

90681999936000 is a wasteful number, since it uses less digits than its factorization.

90681999936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95302 (or 95265 counting only the distinct ones).

The product of its (nonzero) digits is 51018336, while the sum is 69.

The spelling of 90681999936000 in words is "ninety trillion, six hundred eighty-one billion, nine hundred ninety-nine million, nine hundred thirty-six thousand".