96493775432400 has 360 divisors, whose sum is σ = 373218808360320. Its totient is φ = 22943411343360.

The previous prime is 96493775432363. The next prime is 96493775432441. The reversal of 96493775432400 is 423457739469.

It is a happy number.

96493775432400 is a `hidden beast` number, since 9 + 6 + 4 + 93 + 7 + 75 + 432 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×96493775432400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40329192 + ... + 42654791.

It is an arithmetic number, because the mean of its divisors is an integer number (1036718912112).

Almost surely, 2^{96493775432400} is an apocalyptic number.

96493775432400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96493775432400 is an abundant number, since it is smaller than the sum of its proper divisors (276725032927920).

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

96493775432400 is a wasteful number, since it uses less digits than its factorization.

96493775432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82984043 (or 82984029 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 96493775432400 in words is "ninety-six trillion, four hundred ninety-three billion, seven hundred seventy-five million, four hundred thirty-two thousand, four hundred".