91551790792900 has 81 divisors (see below), whose sum is σ = 201690950404167. Its totient is φ = 36071612438400.

The previous prime is 91551790792897. The next prime is 91551790792951. The reversal of 91551790792900 is 929709715519.

It is a happy number.

The square root of 91551790792900 is 9568270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 57549550444164 + 34002240348736 = 7586142^2 + 5831144^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6410733760 + ... + 6410748040.

Almost surely, 2^{91551790792900} is an apocalyptic number.

91551790792900 is the 9568270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91551790792900

91551790792900 is an abundant number, since it is smaller than the sum of its proper divisors (110139159611267).

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

91551790792900 is an frugal number, since it uses more digits than its factorization.

91551790792900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28710 (or 14355 counting only the distinct ones).

The product of its (nonzero) digits is 16074450, while the sum is 64.

The spelling of 91551790792900 in words is "ninety-one trillion, five hundred fifty-one billion, seven hundred ninety million, seven hundred ninety-two thousand, nine hundred".