91554220800 has 1944 divisors, whose sum is σ = 429335708256. Its totient is φ = 18154782720.

The previous prime is 91554220799. The next prime is 91554220811. The reversal of 91554220800 is 802245519.

91554220800 is a `hidden beast` number, since 9 + 1 + 554 + 2 + 20 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2474438382 + ... + 2474438418.

Almost surely, 2^91554220800 is an apocalyptic number.

91554220800 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 91554220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214667854128).

91554220800 is an abundant number, since it is smaller than the sum of its proper divisors (337781487456).

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

91554220800 is a wasteful number, since it uses less digits than its factorization.

91554220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 91554220800 in words is "ninety-one billion, five hundred fifty-four million, two hundred twenty thousand, eight hundred".