90156608006400 has 1296 divisors, whose sum is σ = 349885452064512. Its totient is φ = 22016655360000.

The previous prime is 90156608006389. The next prime is 90156608006417. The reversal of 90156608006400 is 460080665109.

90156608006400 is a `hidden beast` number, since 9 + 0 + 1 + 566 + 0 + 80 + 0 + 6 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63356716089 + ... + 63356717511.

Almost surely, 2^{90156608006400} is an apocalyptic number.

90156608006400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90156608006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174942726032256).

90156608006400 is an abundant number, since it is smaller than the sum of its proper divisors (259728844058112).

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

90156608006400 is a wasteful number, since it uses less digits than its factorization.

90156608006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 90156608006400 in words is "ninety trillion, one hundred fifty-six billion, six hundred eight million, six thousand, four hundred".