95112734976 has 432 divisors, whose sum is σ = 331320790080. Its totient is φ = 27167228928.

The previous prime is 95112734957. The next prime is 95112735001. The reversal of 95112734976 is 67943721159.

95112734976 is a `hidden beast` number, since 9 + 511 + 2 + 7 + 34 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×95112734976² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27431995 + ... + 27435461.

Almost surely, 2^95112734976 is an apocalyptic number.

95112734976 is a gapful number since it is divisible by the number (96) 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 95112734976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165660395040).

95112734976 is an abundant number, since it is smaller than the sum of its proper divisors (236208055104).

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

95112734976 is an frugal number, since it uses more digits than its factorization.

95112734976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518 (or 3479 counting only the distinct ones).

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

The spelling of 95112734976 in words is "ninety-five billion, one hundred twelve million, seven hundred thirty-four thousand, nine hundred seventy-six".