95924860416 has 1920 divisors, whose sum is σ = 411813642240. Its totient is φ = 21499084800.

The previous prime is 95924860391. The next prime is 95924860417. The reversal of 95924860416 is 61406842959.

95924860416 is a `hidden beast` number, since 9 + 5 + 9 + 24 + 8 + 604 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95924860417) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3094350321 + ... + 3094350351.

It is an arithmetic number, because the mean of its divisors is an integer number (214486272).

Almost surely, 2^95924860416 is an apocalyptic number.

95924860416 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 95924860416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205906821120).

95924860416 is an abundant number, since it is smaller than the sum of its proper divisors (315888781824).

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

95924860416 is a wasteful number, since it uses less digits than its factorization.

95924860416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 95924860416 in words is "ninety-five billion, nine hundred twenty-four million, eight hundred sixty thousand, four hundred sixteen".