91566760000 has 315 divisors, whose sum is σ = 243938226499. Its totient is φ = 34084864000.

The previous prime is 91566759941. The next prime is 91566760027. The reversal of 91566760000 is 6766519.

The square root of 91566760000 is 302600.

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

It can be written as a sum of positive squares in 22 ways, for example, as 82497626176 + 9069133824 = 287224^2 + 95232^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1028839956 + ... + 1028840044.

Almost surely, 2^91566760000 is an apocalyptic number.

91566760000 is the 302600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91566760000

91566760000 is an abundant number, since it is smaller than the sum of its proper divisors (152371466499).

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

91566760000 is an frugal number, since it uses more digits than its factorization.

91566760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The spelling of 91566760000 in words is "ninety-one billion, five hundred sixty-six million, seven hundred sixty thousand".