95121625397760 has 5120 divisors, whose sum is σ = 419812330291200. Its totient is φ = 20180474265600.

The previous prime is 95121625397749. The next prime is 95121625397783. The reversal of 95121625397760 is 6779352612159.

95121625397760 is a `hidden beast` number, since 9 + 5 + 1 + 21 + 6 + 2 + 539 + 7 + 76 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1068782307796 + ... + 1068782307884.

It is an arithmetic number, because the mean of its divisors is an integer number (81994595760).

Almost surely, 2^{95121625397760} is an apocalyptic number.

95121625397760 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 95121625397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209906165145600).

95121625397760 is an abundant number, since it is smaller than the sum of its proper divisors (324690704893440).

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

95121625397760 is a wasteful number, since it uses less digits than its factorization.

95121625397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 95121625397760 in words is "ninety-five trillion, one hundred twenty-one billion, six hundred twenty-five million, three hundred ninety-seven thousand, seven hundred sixty".