91285399516752 has 960 divisors, whose sum is σ = 322682432716800. Its totient is φ = 23504949411840.

The previous prime is 91285399516711. The next prime is 91285399516789. The reversal of 91285399516752 is 25761599358219.

91285399516752 is a `hidden beast` number, since 9 + 1 + 2 + 8 + 5 + 39 + 9 + 516 + 75 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10928452608 + ... + 10928460960.

It is an arithmetic number, because the mean of its divisors is an integer number (336127534080).

Almost surely, 2^{91285399516752} 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 91285399516752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161341216358400).

91285399516752 is an abundant number, since it is smaller than the sum of its proper divisors (231397033200048).

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

91285399516752 is a wasteful number, since it uses less digits than its factorization.

91285399516752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8736 (or 8727 counting only the distinct ones).

The product of its digits is 367416000, while the sum is 72.

The spelling of 91285399516752 in words is "ninety-one trillion, two hundred eighty-five billion, three hundred ninety-nine million, five hundred sixteen thousand, seven hundred fifty-two".