90042730883072 has 576 divisors, whose sum is σ = 213416893609920. Its totient is φ = 37645398835200.

The previous prime is 90042730882967. The next prime is 90042730883099. The reversal of 90042730883072 is 27038803724009.

It is a super-2 number, since 2×90042730883072² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

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, 157693048547 + ... + 157693049117.

It is an arithmetic number, because the mean of its divisors is an integer number (370515440295).

Almost surely, 2^{90042730883072} 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 90042730883072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106708446804960).

90042730883072 is an abundant number, since it is smaller than the sum of its proper divisors (123374162726848).

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

90042730883072 is a wasteful number, since it uses less digits than its factorization.

90042730883072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 53.

The spelling of 90042730883072 in words is "ninety trillion, forty-two billion, seven hundred thirty million, eight hundred eighty-three thousand, seventy-two".