71220787560 has 384 divisors, whose sum is σ = 258377333760. Its totient is φ = 16895692800.

The previous prime is 71220787489. The next prime is 71220787577. The reversal of 71220787560 is 6578702217.

71220787560 is a `hidden beast` number, since 7 + 1 + 2 + 2 + 0 + 7 + 87 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 40766607 + ... + 40768353.

It is an arithmetic number, because the mean of its divisors is an integer number (672857640).

Almost surely, 2^71220787560 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 71220787560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129188666880).

71220787560 is an abundant number, since it is smaller than the sum of its proper divisors (187156546200).

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

71220787560 is a wasteful number, since it uses less digits than its factorization.

71220787560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 71220787560 in words is "seventy-one billion, two hundred twenty million, seven hundred eighty-seven thousand, five hundred sixty".