95375744497152 has 960 divisors, whose sum is σ = 333285598356480. Its totient is φ = 26848475136000.

The previous prime is 95375744497049. The next prime is 95375744497193. The reversal of 95375744497152 is 25179444757359.

It is a happy number.

95375744497152 is a `hidden beast` number, since 9 + 5 + 3 + 7 + 574 + 4 + 49 + 7 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×95375744497152² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14435556633 + ... + 14435563239.

It is an arithmetic number, because the mean of its divisors is an integer number (347172498288).

Almost surely, 2^{95375744497152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95375744497152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166642799178240).

95375744497152 is an abundant number, since it is smaller than the sum of its proper divisors (237909853859328).

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

95375744497152 is a wasteful number, since it uses less digits than its factorization.

95375744497152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6960 (or 6931 counting only the distinct ones).

The product of its digits is 1333584000, while the sum is 72.

The spelling of 95375744497152 in words is "ninety-five trillion, three hundred seventy-five billion, seven hundred forty-four million, four hundred ninety-seven thousand, one hundred fifty-two".