90658713600 has 1872 divisors, whose sum is σ = 425904740352. Its totient is φ = 17907056640.

The previous prime is 90658713583. The next prime is 90658713637. The reversal of 90658713600 is 631785609.

It is a happy number.

90658713600 is a `hidden beast` number, since 9 + 0 + 6 + 587 + 1 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

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, 1928908777 + ... + 1928908823.

It is an arithmetic number, because the mean of its divisors is an integer number (227513216).

Almost surely, 2^90658713600 is an apocalyptic number.

90658713600 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 90658713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212952370176).

90658713600 is an abundant number, since it is smaller than the sum of its proper divisors (335246026752).

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

90658713600 is a wasteful number, since it uses less digits than its factorization.

90658713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 90658713600 in words is "ninety billion, six hundred fifty-eight million, seven hundred thirteen thousand, six hundred".