91252412943120 has 1920 divisors, whose sum is σ = 370452577517568. Its totient is φ = 19840072089600.

The previous prime is 91252412943089. The next prime is 91252412943143. The reversal of 91252412943120 is 2134921425219.

91252412943120 is a `hidden beast` number, since 9 + 1 + 2 + 5 + 2 + 41 + 294 + 312 + 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 (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 210744602424 + ... + 210744602856.

Almost surely, 2^{91252412943120} is an apocalyptic number.

91252412943120 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 91252412943120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185226288758784).

91252412943120 is an abundant number, since it is smaller than the sum of its proper divisors (279200164574448).

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

91252412943120 is a wasteful number, since it uses less digits than its factorization.

91252412943120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 91252412943120 in words is "ninety-one trillion, two hundred fifty-two billion, four hundred twelve million, nine hundred forty-three thousand, one hundred twenty".