90728265600 has 1152 divisors, whose sum is σ = 409139527680. Its totient is φ = 18653184000.

The previous prime is 90728265599. The next prime is 90728265611. The reversal of 90728265600 is 656282709.

90728265600 is a `hidden beast` number, since 9 + 0 + 7 + 2 + 82 + 6 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

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, 78825025 + ... + 78826175.

It is an arithmetic number, because the mean of its divisors is an integer number (355155840).

Almost surely, 2^90728265600 is an apocalyptic number.

90728265600 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 90728265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204569763840).

90728265600 is an abundant number, since it is smaller than the sum of its proper divisors (318411262080).

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

90728265600 is a wasteful number, since it uses less digits than its factorization.

90728265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 90728265600 in words is "ninety billion, seven hundred twenty-eight million, two hundred sixty-five thousand, six hundred".