95690125440 has 1536 divisors, whose sum is σ = 435798835200. Its totient is φ = 19408896000.

The previous prime is 95690125439. The next prime is 95690125507. The reversal of 95690125440 is 4452109659.

95690125440 is a `hidden beast` number, since 9 + 5 + 6 + 90 + 12 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 633709365 + ... + 633709515.

It is an arithmetic number, because the mean of its divisors is an integer number (283723200).

Almost surely, 2^95690125440 is an apocalyptic number.

95690125440 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 95690125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217899417600).

95690125440 is an abundant number, since it is smaller than the sum of its proper divisors (340108709760).

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

95690125440 is a wasteful number, since it uses less digits than its factorization.

95690125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 95690125440 in words is "ninety-five billion, six hundred ninety million, one hundred twenty-five thousand, four hundred forty".