95460556800 has 768 divisors, whose sum is σ = 374461747200. Its totient is φ = 20997734400.

The previous prime is 95460556799. The next prime is 95460556817. The reversal of 95460556800 is 865506459.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×95460556800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 95460556800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 533299111 + ... + 533299289.

It is an arithmetic number, because the mean of its divisors is an integer number (487580400).

Almost surely, 2^95460556800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95460556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187230873600).

95460556800 is an abundant number, since it is smaller than the sum of its proper divisors (279001190400).

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

95460556800 is a wasteful number, since it uses less digits than its factorization.

95460556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 95460556800 in words is "ninety-five billion, four hundred sixty million, five hundred fifty-six thousand, eight hundred".