90076609595392 has 768 divisors, whose sum is σ = 222651374400000. Its totient is φ = 36363133255680.

The previous prime is 90076609595387. The next prime is 90076609595471. The reversal of 90076609595392 is 29359590667009.

It is a super-2 number, since 2×90076609595392² (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 63 ways as a sum of consecutive naturals, for example, 214979974959 + ... + 214979975377.

It is an arithmetic number, because the mean of its divisors is an integer number (289910643750).

Almost surely, 2^{90076609595392} 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 90076609595392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111325687200000).

90076609595392 is an abundant number, since it is smaller than the sum of its proper divisors (132574764804608).

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

90076609595392 is a wasteful number, since it uses less digits than its factorization.

90076609595392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 248005800, while the sum is 70.

The spelling of 90076609595392 in words is "ninety trillion, seventy-six billion, six hundred nine million, five hundred ninety-five thousand, three hundred ninety-two".