91352476800 has 648 divisors, whose sum is σ = 355564947465. Its totient is φ = 22322626560.

The previous prime is 91352476771. The next prime is 91352476811. The reversal of 91352476800 is 867425319.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 16902080064 + 74450396736 = 130008^2 + 272856^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=213720.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 666806332 + ... + 666806468.

It is a 2-persistent number, because it is pandigital, and so is 2⋅91352476800 = 182704953600, but 3⋅91352476800 = 274057430400 is not.

Almost surely, 2^91352476800 is an apocalyptic number.

91352476800 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 91352476800

91352476800 is an abundant number, since it is smaller than the sum of its proper divisors (264212470665).

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

91352476800 is a wasteful number, since it uses less digits than its factorization.

91352476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 91352476800 in words is "ninety-one billion, three hundred fifty-two million, four hundred seventy-six thousand, eight hundred".