91905278400 has 672 divisors, whose sum is σ = 372509491200. Its totient is φ = 21888921600.

The previous prime is 91905278383. The next prime is 91905278453. The reversal of 91905278400 is 487250919.

91905278400 is a `hidden beast` number, since 9 + 190 + 52 + 7 + 8 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17406961 + ... + 17412239.

It is an arithmetic number, because the mean of its divisors is an integer number (554329600).

Almost surely, 2^91905278400 is an apocalyptic number.

91905278400 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 91905278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186254745600).

91905278400 is an abundant number, since it is smaller than the sum of its proper divisors (280604212800).

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

91905278400 is a wasteful number, since it uses less digits than its factorization.

91905278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5354 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 91905278400 in words is "ninety-one billion, nine hundred five million, two hundred seventy-eight thousand, four hundred".