95083900800 has 768 divisors, whose sum is σ = 374826009600. Its totient is φ = 20726415360.

The previous prime is 95083900787. The next prime is 95083900819. The reversal of 95083900800 is 800938059.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189033349 + ... + 189033851.

It is an arithmetic number, because the mean of its divisors is an integer number (488054700).

Almost surely, 2^95083900800 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 95083900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187413004800).

95083900800 is an abundant number, since it is smaller than the sum of its proper divisors (279742108800).

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

95083900800 is a wasteful number, since it uses less digits than its factorization.

95083900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 95083900800 in words is "ninety-five billion, eighty-three million, nine hundred thousand, eight hundred".