91403856007200 has 432 divisors, whose sum is σ = 352162750578912. Its totient is φ = 22123929600000.

The previous prime is 91403856007187. The next prime is 91403856007249. The reversal of 91403856007200 is 270065830419.

91403856007200 is a `hidden beast` number, since 9 + 1 + 4 + 0 + 38 + 5 + 600 + 7 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49866975 + ... + 51667425.

It is an arithmetic number, because the mean of its divisors is an integer number (815191552266).

It is a 1-persistent number, because it is pandigital, but 2⋅91403856007200 = 182807712014400 is not.

Almost surely, 2^{91403856007200} is an apocalyptic number.

91403856007200 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 91403856007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176081375289456).

91403856007200 is an abundant number, since it is smaller than the sum of its proper divisors (260758894571712).

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

91403856007200 is a wasteful number, since it uses less digits than its factorization.

91403856007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801129 (or 1801113 counting only the distinct ones).

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

The spelling of 91403856007200 in words is "ninety-one trillion, four hundred three billion, eight hundred fifty-six million, seven thousand, two hundred".