90062408400 has 60 divisors (see below), whose sum is σ = 288499918752. Its totient is φ = 24016641920.

The previous prime is 90062408377. The next prime is 90062408407. The reversal of 90062408400 is 480426009.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×90062408400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90062408407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37524804 + ... + 37527203.

Almost surely, 2^90062408400 is an apocalyptic number.

It is an amenable number.

90062408400 is an abundant number, since it is smaller than the sum of its proper divisors (198437510352).

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

90062408400 is a wasteful number, since it uses less digits than its factorization.

90062408400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75052028 (or 75052017 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 90062408400 in words is "ninety billion, sixty-two million, four hundred eight thousand, four hundred".