61570809072 has 160 divisors (see below), whose sum is σ = 179131392000. Its totient is φ = 20246526720.

The previous prime is 61570809059. The next prime is 61570809089. The reversal of 61570809072 is 27090807516.

61570809072 is a `hidden beast` number, since 6 + 1 + 570 + 8 + 0 + 9 + 0 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11251297 + ... + 11256767.

It is an arithmetic number, because the mean of its divisors is an integer number (1119571200).

Almost surely, 2^61570809072 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 61570809072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89565696000).

61570809072 is an abundant number, since it is smaller than the sum of its proper divisors (117560582928).

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

61570809072 is a wasteful number, since it uses less digits than its factorization.

61570809072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5836 (or 5824 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 61570809072 in words is "sixty-one billion, five hundred seventy million, eight hundred nine thousand, seventy-two".