95876137728 has 864 divisors, whose sum is σ = 355675622400. Its totient is φ = 25319153664.

The previous prime is 95876137667. The next prime is 95876137769. The reversal of 95876137728 is 82773167859.

95876137728 is a `hidden beast` number, since 9 + 5 + 8 + 7 + 613 + 7 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×95876137728³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 302448226 + ... + 302448542.

It is an arithmetic number, because the mean of its divisors is an integer number (411661600).

Almost surely, 2^95876137728 is an apocalyptic number.

95876137728 is a gapful number since it is divisible by the number (98) 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 95876137728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177837811200).

95876137728 is an abundant number, since it is smaller than the sum of its proper divisors (259799484672).

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

95876137728 is a wasteful number, since it uses less digits than its factorization.

95876137728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 395 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 95876137728 in words is "ninety-five billion, eight hundred seventy-six million, one hundred thirty-seven thousand, seven hundred twenty-eight".