95205272064 has 480 divisors, whose sum is σ = 311352750720. Its totient is φ = 25736675328.

The previous prime is 95205272059. The next prime is 95205272077. The reversal of 95205272064 is 46027250259.

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

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, 115680357 + ... + 115681179.

It is an arithmetic number, because the mean of its divisors is an integer number (648651564).

Almost surely, 2^95205272064 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 95205272064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155676375360).

95205272064 is an abundant number, since it is smaller than the sum of its proper divisors (216147478656).

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

95205272064 is a wasteful number, since it uses less digits than its factorization.

95205272064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 95205272064 in words is "ninety-five billion, two hundred five million, two hundred seventy-two thousand, sixty-four".