91752744960 has 576 divisors, whose sum is σ = 340618824000. Its totient is φ = 22773104640.

The previous prime is 91752744943. The next prime is 91752744973. The reversal of 91752744960 is 6944725719.

91752744960 is a `hidden beast` number, since 9 + 17 + 527 + 4 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 91752744897 and 91752744906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106813011 + ... + 106813869.

It is an arithmetic number, because the mean of its divisors is an integer number (591352125).

Almost surely, 2^91752744960 is an apocalyptic number.

91752744960 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 91752744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170309412000).

91752744960 is an abundant number, since it is smaller than the sum of its proper divisors (248866079040).

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

91752744960 is a wasteful number, since it uses less digits than its factorization.

91752744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 91752744960 in words is "ninety-one billion, seven hundred fifty-two million, seven hundred forty-four thousand, nine hundred sixty".