95057840961504 has 384 divisors, whose sum is σ = 283744339200000. Its totient is φ = 30951495843840.

The previous prime is 95057840961379. The next prime is 95057840961571. The reversal of 95057840961504 is 40516904875059.

95057840961504 is a `hidden beast` number, since 9 + 5 + 0 + 5 + 7 + 8 + 4 + 0 + 9 + 615 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10993154109 + ... + 10993162755.

It is an arithmetic number, because the mean of its divisors is an integer number (738917550000).

Almost surely, 2^{95057840961504} 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 95057840961504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141872169600000).

95057840961504 is an abundant number, since it is smaller than the sum of its proper divisors (188686498238496).

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

95057840961504 is a wasteful number, since it uses less digits than its factorization.

95057840961504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10143 (or 10129 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 95057840961504 in words is "ninety-five trillion, fifty-seven billion, eight hundred forty million, nine hundred sixty-one thousand, five hundred four".