95378976000 has 2592 divisors, whose sum is σ = 476336899584. Its totient is φ = 17842176000.

The previous prime is 95378975999. The next prime is 95378976037. The reversal of 95378976000 is 67987359.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4146911989 + ... + 4146912011.

It is an arithmetic number, because the mean of its divisors is an integer number (183771952).

Almost surely, 2^95378976000 is an apocalyptic number.

95378976000 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 95378976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238168449792).

95378976000 is an abundant number, since it is smaller than the sum of its proper divisors (380957923584).

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

95378976000 is a wasteful number, since it uses less digits than its factorization.

95378976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 95378976000 in words is "ninety-five billion, three hundred seventy-eight million, nine hundred seventy-six thousand".