91748575654560 has 864 divisors, whose sum is σ = 367457151245184. Its totient is φ = 20780224819200.

The previous prime is 91748575654543. The next prime is 91748575654573. The reversal of 91748575654560 is 6545657584719.

91748575654560 is a `hidden beast` number, since 9 + 1 + 7 + 4 + 8 + 5 + 7 + 5 + 6 + 54 + 560 = 666.

It is a super-2 number, since 2×91748575654560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 172057150 + ... + 172589570.

It is an arithmetic number, because the mean of its divisors is an integer number (425297628756).

Almost surely, 2^{91748575654560} is an apocalyptic number.

91748575654560 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 91748575654560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183728575622592).

91748575654560 is an abundant number, since it is smaller than the sum of its proper divisors (275708575590624).

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

91748575654560 is a wasteful number, since it uses less digits than its factorization.

91748575654560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532530 (or 532508 counting only the distinct ones).

The product of its (nonzero) digits is 1270080000, while the sum is 72.

The spelling of 91748575654560 in words is "ninety-one trillion, seven hundred forty-eight billion, five hundred seventy-five million, six hundred fifty-four thousand, five hundred sixty".