95669642505600 has 1920 divisors, whose sum is σ = 378335222496000. Its totient is φ = 23735487283200.

The previous prime is 95669642505599. The next prime is 95669642505607. The reversal of 95669642505600 is 650524696659.

95669642505600 is a `hidden beast` number, since 9 + 5 + 6 + 6 + 9 + 64 + 2 + 5 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95669642505607) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 146507874874 + ... + 146507875526.

It is an arithmetic number, because the mean of its divisors is an integer number (197049595050).

Almost surely, 2^{95669642505600} is an apocalyptic number.

95669642505600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95669642505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189167611248000).

95669642505600 is an abundant number, since it is smaller than the sum of its proper divisors (282665579990400).

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

95669642505600 is a wasteful number, since it uses less digits than its factorization.

95669642505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 63.

The spelling of 95669642505600 in words is "ninety-five trillion, six hundred sixty-nine billion, six hundred forty-two million, five hundred five thousand, six hundred".