95505627713328 has 640 divisors, whose sum is σ = 349457061888000. Its totient is φ = 24311717498880.

The previous prime is 95505627713297. The next prime is 95505627713329. The reversal of 95505627713328 is 82331772650559.

95505627713328 is a `hidden beast` number, since 9 + 5 + 50 + 562 + 7 + 7 + 13 + 3 + 2 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (95505627713329) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1288298823 + ... + 1288372953.

It is an arithmetic number, because the mean of its divisors is an integer number (546026659200).

Almost surely, 2^{95505627713328} 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 95505627713328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174728530944000).

95505627713328 is an abundant number, since it is smaller than the sum of its proper divisors (253951434174672).

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

95505627713328 is a wasteful number, since it uses less digits than its factorization.

95505627713328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75510 (or 75498 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 95505627713328 in words is "ninety-five trillion, five hundred five billion, six hundred twenty-seven million, seven hundred thirteen thousand, three hundred twenty-eight".