91688755820400 has 210 divisors, whose sum is σ = 330272269628360. Its totient is φ = 24450334807680.

The previous prime is 91688755820383. The next prime is 91688755820401. The reversal of 91688755820400 is 402855788619.

91688755820400 is a `hidden beast` number, since 9 + 1 + 6 + 8 + 8 + 7 + 5 + 582 + 0 + 40 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91688755820401) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 156925060 + ... + 157508259.

Almost surely, 2^{91688755820400} is an apocalyptic number.

91688755820400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

91688755820400 is an abundant number, since it is smaller than the sum of its proper divisors (238583513807960).

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

91688755820400 is a wasteful number, since it uses less digits than its factorization.

91688755820400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314433355 (or 314433329 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 91688755820400 in words is "ninety-one trillion, six hundred eighty-eight billion, seven hundred fifty-five million, eight hundred twenty thousand, four hundred".