91953224640 has 168 divisors, whose sum is σ = 320736151008. Its totient is φ = 24175441920.

The previous prime is 91953224567. The next prime is 91953224669. The reversal of 91953224640 is 4642235919.

91953224640 is a `hidden beast` number, since 91 + 9 + 532 + 24 + 6 + 4 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20367 + ... + 429326.

It is an arithmetic number, because the mean of its divisors is an integer number (1909143756).

Almost surely, 2^91953224640 is an apocalyptic number.

91953224640 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 91953224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160368075504).

91953224640 is an abundant number, since it is smaller than the sum of its proper divisors (228782926368).

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

91953224640 is a wasteful number, since it uses less digits than its factorization.

91953224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449787 (or 449774 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 91953224640 in words is "ninety-one billion, nine hundred fifty-three million, two hundred twenty-four thousand, six hundred forty".