95916441600 has 1350 divisors, whose sum is σ = 420348838140. Its totient is φ = 21552168960.

The previous prime is 95916441581. The next prime is 95916441613. The reversal of 95916441600 is 614461959.

It is a happy number.

95916441600 is a `hidden beast` number, since 9 + 591 + 6 + 44 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1350).

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1625702371 + ... + 1625702429.

Almost surely, 2^95916441600 is an apocalyptic number.

95916441600 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 95916441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210174419070).

95916441600 is an abundant number, since it is smaller than the sum of its proper divisors (324432396540).

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

95916441600 is an equidigital number, since it uses as much as digits as its factorization.

95916441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 95916441600 in words is "ninety-five billion, nine hundred sixteen million, four hundred forty-one thousand, six hundred".