95866917120 has 1152 divisors, whose sum is σ = 386247321600. Its totient is φ = 22359048192.

The previous prime is 95866917077. The next prime is 95866917163. The reversal of 95866917120 is 2171966859.

It is an interprime number because it is at equal distance from previous prime (95866917077) and next prime (95866917163).

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 1213505241 + ... + 1213505319.

Almost surely, 2^95866917120 is an apocalyptic number.

95866917120 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 95866917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193123660800).

95866917120 is an abundant number, since it is smaller than the sum of its proper divisors (290380404480).

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

95866917120 is a wasteful number, since it uses less digits than its factorization.

95866917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 95866917120 in words is "ninety-five billion, eight hundred sixty-six million, nine hundred seventeen thousand, one hundred twenty".