95126328000 has 1008 divisors, whose sum is σ = 382285219680. Its totient is φ = 22556160000.

The previous prime is 95126327993. The next prime is 95126328067. The reversal of 95126328000 is 82362159.

95126328000 is a `hidden beast` number, since 9 + 5 + 12 + 632 + 8 + 0 + 0 + 0 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 531431911 + ... + 531432089.

It is an arithmetic number, because the mean of its divisors is an integer number (379251210).

Almost surely, 2^95126328000 is an apocalyptic number.

95126328000 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 95126328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191142609840).

95126328000 is an abundant number, since it is smaller than the sum of its proper divisors (287158891680).

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

95126328000 is a wasteful number, since it uses less digits than its factorization.

95126328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 95126328000 in words is "ninety-five billion, one hundred twenty-six million, three hundred twenty-eight thousand".