95250742848 has 336 divisors, whose sum is σ = 298226073600. Its totient is φ = 28955335680.

The previous prime is 95250742801. The next prime is 95250742901. The reversal of 95250742848 is 84824705259.

95250742848 is a `hidden beast` number, since 9 + 52 + 507 + 4 + 2 + 84 + 8 = 666.

It is a super-2 number, since 2×95250742848² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 95250742794 and 95250742803.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75655243 + ... + 75656501.

It is an arithmetic number, because the mean of its divisors is an integer number (887577600).

Almost surely, 2^95250742848 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 95250742848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149113036800).

95250742848 is an abundant number, since it is smaller than the sum of its proper divisors (202975330752).

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

95250742848 is a wasteful number, since it uses less digits than its factorization.

95250742848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 95250742848 in words is "ninety-five billion, two hundred fifty million, seven hundred forty-two thousand, eight hundred forty-eight".