95478566400 has 960 divisors, whose sum is σ = 407712476160. Its totient is φ = 21432729600.

The previous prime is 95478566399. The next prime is 95478566401. The reversal of 95478566400 is 466587459.

95478566400 is a `hidden beast` number, since 9 + 5 + 4 + 78 + 566 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (95478566399) and next prime (95478566401).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95478566401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147570877 + ... + 147571523.

It is an arithmetic number, because the mean of its divisors is an integer number (424700496).

Almost surely, 2^95478566400 is an apocalyptic number.

95478566400 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 95478566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203856238080).

95478566400 is an abundant number, since it is smaller than the sum of its proper divisors (312233909760).

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

95478566400 is a wasteful number, since it uses less digits than its factorization.

95478566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 95478566400 in words is "ninety-five billion, four hundred seventy-eight million, five hundred sixty-six thousand, four hundred".