90155694906 has 96 divisors (see below), whose sum is σ = 214695936000. Its totient is φ = 27214903584.

The previous prime is 90155694869. The next prime is 90155694983. The reversal of 90155694906 is 60949655109.

90155694906 is a `hidden beast` number, since 90 + 1 + 5 + 5 + 69 + 490 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17609415 + ... + 17614533.

It is an arithmetic number, because the mean of its divisors is an integer number (2236416000).

Almost surely, 2^90155694906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90155694906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107347968000).

90155694906 is an abundant number, since it is smaller than the sum of its proper divisors (124540241094).

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

90155694906 is a wasteful number, since it uses less digits than its factorization.

90155694906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7408 (or 7405 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 90155694906 in words is "ninety billion, one hundred fifty-five million, six hundred ninety-four thousand, nine hundred six".