71222155056 has 240 divisors, whose sum is σ = 216633572064. Its totient is φ = 21713780736.

The previous prime is 71222154979. The next prime is 71222155073. The reversal of 71222155056 is 65055122217.

71222155056 is a `hidden beast` number, since 7 + 122 + 21 + 5 + 505 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 71222155056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152509735 + ... + 152510201.

Almost surely, 2^71222155056 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 71222155056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108316786032).

71222155056 is an abundant number, since it is smaller than the sum of its proper divisors (145411417008).

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

71222155056 is a wasteful number, since it uses less digits than its factorization.

71222155056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 71222155056 in words is "seventy-one billion, two hundred twenty-two million, one hundred fifty-five thousand, fifty-six".