95023425811680 has 1152 divisors, whose sum is σ = 365999374540800. Its totient is φ = 22323773767680.

The previous prime is 95023425811673. The next prime is 95023425811763. The reversal of 95023425811680 is 8611852432059.

95023425811680 is a `hidden beast` number, since 9 + 5 + 0 + 2 + 3 + 42 + 581 + 16 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6834735609 + ... + 6834749511.

It is an arithmetic number, because the mean of its divisors is an integer number (317707790400).

Almost surely, 2^{95023425811680} is an apocalyptic number.

95023425811680 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 95023425811680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182999687270400).

95023425811680 is an abundant number, since it is smaller than the sum of its proper divisors (270975948729120).

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

95023425811680 is a wasteful number, since it uses less digits than its factorization.

95023425811680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14224 (or 14213 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 95023425811680 in words is "ninety-five trillion, twenty-three billion, four hundred twenty-five million, eight hundred eleven thousand, six hundred eighty".