95457079136160 has 432 divisors, whose sum is σ = 398874229135200. Its totient is φ = 20670404815872.

The previous prime is 95457079136131. The next prime is 95457079136189. The reversal of 95457079136160 is 6163197075459.

It is a happy number.

95457079136160 is a `hidden beast` number, since 9 + 5 + 4 + 5 + 7 + 0 + 7 + 9 + 1 + 3 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (95457079136131) and next prime (95457079136189).

It is a super-2 number, since 2×95457079136160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34260670 + ... + 36941949.

It is an arithmetic number, because the mean of its divisors is an integer number (923319974850).

Almost surely, 2^{95457079136160} is an apocalyptic number.

95457079136160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

95457079136160 is an abundant number, since it is smaller than the sum of its proper divisors (303417149999040).

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

95457079136160 is a wasteful number, since it uses less digits than its factorization.

95457079136160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71202673 (or 71202655 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 95457079136160 in words is "ninety-five trillion, four hundred fifty-seven billion, seventy-nine million, one hundred thirty-six thousand, one hundred sixty".