95445504000 has 1248 divisors, whose sum is σ = 430566140160. Its totient is φ = 19759104000.

The previous prime is 95445503999. The next prime is 95445504017. The reversal of 95445504000 is 40554459.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354815866 + ... + 354816134.

It is an arithmetic number, because the mean of its divisors is an integer number (345004920).

Almost surely, 2^95445504000 is an apocalyptic number.

95445504000 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 95445504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215283070080).

95445504000 is an abundant number, since it is smaller than the sum of its proper divisors (335120636160).

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

95445504000 is a wasteful number, since it uses less digits than its factorization.

95445504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 95445504000 in words is "ninety-five billion, four hundred forty-five million, five hundred four thousand".