95083683552 has 576 divisors, whose sum is σ = 341540769024. Its totient is φ = 24646533120.

The previous prime is 95083683533. The next prime is 95083683557. The reversal of 95083683552 is 25538638059.

95083683552 is a `hidden beast` number, since 9 + 5 + 0 + 8 + 3 + 6 + 83 + 552 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95083683557) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46907563 + ... + 46909589.

It is an arithmetic number, because the mean of its divisors is an integer number (592952724).

Almost surely, 2^95083683552 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 95083683552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170770384512).

95083683552 is an abundant number, since it is smaller than the sum of its proper divisors (246457085472).

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

95083683552 is a wasteful number, since it uses less digits than its factorization.

95083683552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 95083683552 in words is "ninety-five billion, eighty-three million, six hundred eighty-three thousand, five hundred fifty-two".