95976840960 has 2592 divisors, whose sum is σ = 480917062080. Its totient is φ = 17340825600.

The previous prime is 95976840913. The next prime is 95976840979. The reversal of 95976840960 is 6904867959.

It is a happy number.

It is a super-2 number, since 2×95976840960² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 287 ways as a sum of consecutive naturals, for example, 2340898540 + ... + 2340898580.

It is an arithmetic number, because the mean of its divisors is an integer number (185538990).

Almost surely, 2^95976840960 is an apocalyptic number.

95976840960 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 95976840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240458531040).

95976840960 is an abundant number, since it is smaller than the sum of its proper divisors (384940221120).

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

95976840960 is a wasteful number, since it uses less digits than its factorization.

95976840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 95976840960 in words is "ninety-five billion, nine hundred seventy-six million, eight hundred forty thousand, nine hundred sixty".