91363392806400 has 1920 divisors, whose sum is σ = 394801581081600. Its totient is φ = 20402100633600.

The previous prime is 91363392806327. The next prime is 91363392806449. The reversal of 91363392806400 is 460829336319.

91363392806400 is a `hidden beast` number, since 9 + 13 + 63 + 3 + 92 + 80 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27527383941 + ... + 27527387259.

It is an arithmetic number, because the mean of its divisors is an integer number (205625823480).

Almost surely, 2^{91363392806400} is an apocalyptic number.

91363392806400 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 91363392806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197400790540800).

91363392806400 is an abundant number, since it is smaller than the sum of its proper divisors (303438188275200).

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

91363392806400 is a wasteful number, since it uses less digits than its factorization.

91363392806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3937 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 91363392806400 in words is "ninety-one trillion, three hundred sixty-three billion, three hundred ninety-two million, eight hundred six thousand, four hundred".