91796925600 has 216 divisors, whose sum is σ = 327798394560. Its totient is φ = 24169167360.

The previous prime is 91796925581. The next prime is 91796925611. The reversal of 91796925600 is 652969719.

91796925600 is a `hidden beast` number, since 9 + 1 + 7 + 9 + 6 + 9 + 25 + 600 = 666.

It is a super-2 number, since 2×91796925600² (a number of 23 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 488107 + ... + 649493.

It is an arithmetic number, because the mean of its divisors is an integer number (1517585160).

Almost surely, 2^91796925600 is an apocalyptic number.

91796925600 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 91796925600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163899197280).

91796925600 is an abundant number, since it is smaller than the sum of its proper divisors (236001468960).

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

91796925600 is a wasteful number, since it uses less digits than its factorization.

91796925600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161492 (or 161476 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 91796925600 in words is "ninety-one billion, seven hundred ninety-six million, nine hundred twenty-five thousand, six hundred".