91059097600 has 351 divisors, whose sum is σ = 241940753299. Its totient is φ = 33990246400.

The previous prime is 91059097589. The next prime is 91059097609. The reversal of 91059097600 is 679095019.

The square root of 91059097600 is 301760.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 38328242176 + 52730855424 = 195776^2 + 229632^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91059097609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2220953580 + ... + 2220953620.

Almost surely, 2^91059097600 is an apocalyptic number.

91059097600 is the 301760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91059097600

91059097600 is an abundant number, since it is smaller than the sum of its proper divisors (150881655699).

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

91059097600 is an equidigital number, since it uses as much as digits as its factorization.

91059097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 46.

The spelling of 91059097600 in words is "ninety-one billion, fifty-nine million, ninety-seven thousand, six hundred".