91992419481600 has 648 divisors, whose sum is σ = 362130460604640. Its totient is φ = 22301179084800.

The previous prime is 91992419481551. The next prime is 91992419481667. The reversal of 91992419481600 is 618491429919.

91992419481600 is a `hidden beast` number, since 9 + 1 + 9 + 9 + 2 + 4 + 19 + 4 + 8 + 1 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 54931857 + ... + 56581743.

Almost surely, 2^{91992419481600} is an apocalyptic number.

91992419481600 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 91992419481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181065230302320).

91992419481600 is an abundant number, since it is smaller than the sum of its proper divisors (270138041123040).

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

91992419481600 is a wasteful number, since it uses less digits than its factorization.

91992419481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649947 (or 1649908 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 91992419481600 in words is "ninety-one trillion, nine hundred ninety-two billion, four hundred nineteen million, four hundred eighty-one thousand, six hundred".