91329638400 has 2340 divisors, whose sum is σ = 457671273136. Its totient is φ = 17517772800.

The previous prime is 91329638369. The next prime is 91329638417. The reversal of 91329638400 is 483692319.

It is a happy number.

91329638400 is a `hidden beast` number, since 9 + 1 + 3 + 2 + 9 + 638 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2340).

It is a super-2 number, since 2×91329638400² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 7025356794 + ... + 7025356806.

Almost surely, 2^91329638400 is an apocalyptic number.

91329638400 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 91329638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228835636568).

91329638400 is an abundant number, since it is smaller than the sum of its proper divisors (366341634736).

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

91329638400 is a wasteful number, since it uses less digits than its factorization.

91329638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 91329638400 in words is "ninety-one billion, three hundred twenty-nine million, six hundred thirty-eight thousand, four hundred".