95445086400 has 840 divisors, whose sum is σ = 374546652480. Its totient is φ = 23770920960.

The previous prime is 95445086329. The next prime is 95445086437. The reversal of 95445086400 is 468054459.

95445086400 is a `hidden beast` number, since 95 + 445 + 0 + 86 + 40 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 204378967 + ... + 204379433.

It is an arithmetic number, because the mean of its divisors is an integer number (445888872).

Almost surely, 2^95445086400 is an apocalyptic number.

95445086400 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 95445086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187273326240).

95445086400 is an abundant number, since it is smaller than the sum of its proper divisors (279101566080).

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

95445086400 is a wasteful number, since it uses less digits than its factorization.

95445086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 95445086400 in words is "ninety-five billion, four hundred forty-five million, eighty-six thousand, four hundred".