91368501940800 has 2016 divisors, whose sum is σ = 406890424012800. Its totient is φ = 19699611402240.

The previous prime is 91368501940783. The next prime is 91368501940823. The reversal of 91368501940800 is 804910586319.

91368501940800 is a `hidden beast` number, since 9 + 13 + 6 + 8 + 501 + 9 + 40 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12358781904 + ... + 12358789296.

Almost surely, 2^{91368501940800} is an apocalyptic number.

91368501940800 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 91368501940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203445212006400).

91368501940800 is an abundant number, since it is smaller than the sum of its proper divisors (315521922072000).

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

91368501940800 is a wasteful number, since it uses less digits than its factorization.

91368501940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7695 (or 7668 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 91368501940800 in words is "ninety-one trillion, three hundred sixty-eight billion, five hundred one million, nine hundred forty thousand, eight hundred".