95135768112000 has 6144 divisors, whose sum is σ = 446671480320000. Its totient is φ = 17644290048000.

The previous prime is 95135768111933. The next prime is 95135768112079. The reversal of 95135768112000 is 21186753159.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 638495087926 + ... + 638495088074.

It is an arithmetic number, because the mean of its divisors is an integer number (72700436250).

Almost surely, 2^{95135768112000} 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 95135768112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223335740160000).

95135768112000 is an abundant number, since it is smaller than the sum of its proper divisors (351535712208000).

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

95135768112000 is a wasteful number, since it uses less digits than its factorization.

95135768112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 95135768112000 in words is "ninety-five trillion, one hundred thirty-five billion, seven hundred sixty-eight million, one hundred twelve thousand".