91752346000 has 320 divisors, whose sum is σ = 266287956480. Its totient is φ = 29910988800.

The previous prime is 91752345989. The next prime is 91752346009. The reversal of 91752346000 is 64325719.

It is not an unprimeable number, because it can be changed into a prime (91752346009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 27200314 + ... + 27203686.

It is an arithmetic number, because the mean of its divisors is an integer number (832149864).

Almost surely, 2^91752346000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91752346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133143978240).

91752346000 is an abundant number, since it is smaller than the sum of its proper divisors (174535610480).

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

91752346000 is a wasteful number, since it uses less digits than its factorization.

91752346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 91752346000 in words is "ninety-one billion, seven hundred fifty-two million, three hundred forty-six thousand".