95071120416 has 480 divisors, whose sum is σ = 309818234880. Its totient is φ = 28466380800.

The previous prime is 95071120393. The next prime is 95071120451. The reversal of 95071120416 is 61402117059.

95071120416 is a `hidden beast` number, since 9 + 50 + 71 + 120 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 107912296 + ... + 107913176.

It is an arithmetic number, because the mean of its divisors is an integer number (645454656).

Almost surely, 2^95071120416 is an apocalyptic number.

95071120416 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 95071120416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154909117440).

95071120416 is an abundant number, since it is smaller than the sum of its proper divisors (214747114464).

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

95071120416 is a wasteful number, since it uses less digits than its factorization.

95071120416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 95071120416 in words is "ninety-five billion, seventy-one million, one hundred twenty thousand, four hundred sixteen".