95800817664 has 384 divisors, whose sum is σ = 292217889600. Its totient is φ = 31388663808.

The previous prime is 95800817663. The next prime is 95800817683. The reversal of 95800817664 is 46671800859.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 95800817664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95800817663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326965102 + ... + 326965394.

Almost surely, 2^95800817664 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 95800817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146108944800).

95800817664 is an abundant number, since it is smaller than the sum of its proper divisors (196417071936).

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

95800817664 is an frugal number, since it uses more digits than its factorization.

95800817664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 95800817664 in words is "ninety-five billion, eight hundred million, eight hundred seventeen thousand, six hundred sixty-four".