90687581431440 has 160 divisors (see below), whose sum is σ = 321295964242176. Its totient is φ = 20728408197120.

The previous prime is 90687581431439. The next prime is 90687581431453. The reversal of 90687581431440 is 4413418578609.

90687581431440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×90687581431440² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320975674 + ... + 321258086.

Almost surely, 2^{90687581431440} is an apocalyptic number.

It is an amenable number.

90687581431440 is an abundant number, since it is smaller than the sum of its proper divisors (230608382810736).

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

90687581431440 is a wasteful number, since it uses less digits than its factorization.

90687581431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473577 (or 473571 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 90687581431440 in words is "ninety trillion, six hundred eighty-seven billion, five hundred eighty-one million, four hundred thirty-one thousand, four hundred forty".