95161631846400 has 2496 divisors, whose sum is σ = 410693856768000. Its totient is φ = 21149861806080.

The previous prime is 95161631846389. The next prime is 95161631846423. The reversal of 95161631846400 is 464813616159.

95161631846400 is a `hidden beast` number, since 9 + 5 + 1 + 6 + 163 + 18 + 464 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 211941273376 + ... + 211941273824.

It is an arithmetic number, because the mean of its divisors is an integer number (164540808000).

Almost surely, 2^{95161631846400} is an apocalyptic number.

95161631846400 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 95161631846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205346928384000).

95161631846400 is an abundant number, since it is smaller than the sum of its proper divisors (315532224921600).

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

95161631846400 is a wasteful number, since it uses less digits than its factorization.

95161631846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 746 counting only the distinct ones).

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

The spelling of 95161631846400 in words is "ninety-five trillion, one hundred sixty-one billion, six hundred thirty-one million, eight hundred forty-six thousand, four hundred".