95014778880 has 1152 divisors, whose sum is σ = 387207475200. Its totient is φ = 19752026112.

The previous prime is 95014778851. The next prime is 95014778917. The reversal of 95014778880 is 8887741059.

It is a self number, because there is not a number n which added to its sum of digits gives 95014778880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1202718681 + ... + 1202718759.

It is an arithmetic number, because the mean of its divisors is an integer number (336117600).

Almost surely, 2^95014778880 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 95014778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193603737600).

95014778880 is an abundant number, since it is smaller than the sum of its proper divisors (292192696320).

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

95014778880 is a wasteful number, since it uses less digits than its factorization.

95014778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 57.

The spelling of 95014778880 in words is "ninety-five billion, fourteen million, seven hundred seventy-eight thousand, eight hundred eighty".