95988083780160 has 2240 divisors, whose sum is σ = 421127988019200. Its totient is φ = 20433188044800.

The previous prime is 95988083780119. The next prime is 95988083780179. The reversal of 95988083780160 is 6108738088959.

95988083780160 is a `hidden beast` number, since 9 + 5 + 98 + 8 + 0 + 8 + 378 + 0 + 160 = 666.

95988083780160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6779291161 + ... + 6779305319.

It is an arithmetic number, because the mean of its divisors is an integer number (188003566080).

Almost surely, 2^{95988083780160} is an apocalyptic number.

95988083780160 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 95988083780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210563994009600).

95988083780160 is an abundant number, since it is smaller than the sum of its proper divisors (325139904239040).

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

95988083780160 is a wasteful number, since it uses less digits than its factorization.

95988083780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14302 (or 14283 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 95988083780160 in words is "ninety-five trillion, nine hundred eighty-eight billion, eighty-three million, seven hundred eighty thousand, one hundred sixty".