96544166400 has 720 divisors, whose sum is σ = 385171383168. Its totient is φ = 22892544000.

The previous prime is 96544166399. The next prime is 96544166413. The reversal of 96544166400 is 466144569.

It is a happy number.

96544166400 is a `hidden beast` number, since 9 + 6 + 544 + 1 + 66 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59557590 + ... + 59559210.

Almost surely, 2^96544166400 is an apocalyptic number.

96544166400 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 96544166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192585691584).

96544166400 is an abundant number, since it is smaller than the sum of its proper divisors (288627216768).

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

96544166400 is a wasteful number, since it uses less digits than its factorization.

96544166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 96544166400 in words is "ninety-six billion, five hundred forty-four million, one hundred sixty-six thousand, four hundred".