95540957918880 has 384 divisors, whose sum is σ = 311471105089536. Its totient is φ = 24591593779200.

The previous prime is 95540957918843. The next prime is 95540957918927. The reversal of 95540957918880 is 8881975904559.

It is a junction number, because it is equal to n+sod(n) for n = 95540957918796 and 95540957918805.

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, 21311833119 + ... + 21311837601.

It is an arithmetic number, because the mean of its divisors is an integer number (811122669504).

Almost surely, 2^{95540957918880} 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 95540957918880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155735552544768).

95540957918880 is an abundant number, since it is smaller than the sum of its proper divisors (215930147170656).

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

95540957918880 is a wasteful number, since it uses less digits than its factorization.

95540957918880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7940 (or 7932 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 78.

The spelling of 95540957918880 in words is "ninety-five trillion, five hundred forty billion, nine hundred fifty-seven million, nine hundred eighteen thousand, eight hundred eighty".