71556961106120 has 128 divisors (see below), whose sum is σ = 186010225148160. Its totient is φ = 24266565550080.

The previous prime is 71556961106017. The next prime is 71556961106173. The reversal of 71556961106120 is 2160116965517.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45314255 + ... + 46866785.

It is an arithmetic number, because the mean of its divisors is an integer number (1453204883970).

Almost surely, 2^{71556961106120} is an apocalyptic number.

71556961106120 is a gapful number since it is divisible by the number (70) 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 71556961106120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93005112574080).

71556961106120 is an abundant number, since it is smaller than the sum of its proper divisors (114453264042040).

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

71556961106120 is a wasteful number, since it uses less digits than its factorization.

71556961106120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554343 (or 1554339 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 50.

The spelling of 71556961106120 in words is "seventy-one trillion, five hundred fifty-six billion, nine hundred sixty-one million, one hundred six thousand, one hundred twenty".