95128250688 has 560 divisors, whose sum is σ = 302127513600. Its totient is φ = 29550044160.

The previous prime is 95128250687. The next prime is 95128250689. The reversal of 95128250688 is 88605282159.

It is a happy number.

95128250688 is a `hidden beast` number, since 9 + 5 + 128 + 2 + 506 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (95128250687) and next prime (95128250689).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95128250681) 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, 749041281 + ... + 749041407.

Almost surely, 2^95128250688 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 95128250688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151063756800).

95128250688 is an abundant number, since it is smaller than the sum of its proper divisors (206999262912).

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

95128250688 is a wasteful number, since it uses less digits than its factorization.

95128250688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 95128250688 in words is "ninety-five billion, one hundred twenty-eight million, two hundred fifty thousand, six hundred eighty-eight".