95415638528 has 240 divisors, whose sum is σ = 237973697280. Its totient is φ = 37389606912.

The previous prime is 95415638501. The next prime is 95415638531. The reversal of 95415638528 is 82583651459.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37519625 + ... + 37522167.

It is an arithmetic number, because the mean of its divisors is an integer number (991557072).

Almost surely, 2^95415638528 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 95415638528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118986848640).

95415638528 is an abundant number, since it is smaller than the sum of its proper divisors (142558058752).

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

95415638528 is a wasteful number, since it uses less digits than its factorization.

95415638528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2600 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 56.

The spelling of 95415638528 in words is "ninety-five billion, four hundred fifteen million, six hundred thirty-eight thousand, five hundred twenty-eight".