91520948736 has 600 divisors, whose sum is σ = 328933517220. Its totient is φ = 25230901248.

The previous prime is 91520948699. The next prime is 91520948747. The reversal of 91520948736 is 63784902519.

91520948736 is a `hidden beast` number, since 9 + 1 + 520 + 9 + 4 + 87 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87228078336 + 4292870400 = 295344^2 + 65520^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 58930936 + ... + 58932488.

It is a 1-persistent number, because it is pandigital, but 2⋅91520948736 = 183041897472 is not.

Almost surely, 2^91520948736 is an apocalyptic number.

91520948736 is a gapful number since it is divisible by the number (96) 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 91520948736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164466758610).

91520948736 is an abundant number, since it is smaller than the sum of its proper divisors (237412568484).

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

91520948736 is a wasteful number, since it uses less digits than its factorization.

91520948736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 91520948736 in words is "ninety-one billion, five hundred twenty million, nine hundred forty-eight thousand, seven hundred thirty-six".