95372127768960 has 640 divisors, whose sum is σ = 412143864517440. Its totient is φ = 20517027840000.

The previous prime is 95372127768923. The next prime is 95372127768961. The reversal of 95372127768960 is 6986772127359.

95372127768960 is a `hidden beast` number, since 9 + 5 + 372 + 127 + 76 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×95372127768960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95372127768961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1561041 + ... + 13898960.

Almost surely, 2^{95372127768960} is an apocalyptic number.

95372127768960 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 95372127768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206071932258720).

95372127768960 is an abundant number, since it is smaller than the sum of its proper divisors (316771736748480).

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

95372127768960 is a wasteful number, since it uses less digits than its factorization.

95372127768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15460056 (or 15460035 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 95372127768960 in words is "ninety-five trillion, three hundred seventy-two billion, one hundred twenty-seven million, seven hundred sixty-eight thousand, nine hundred sixty".