61565701600 has 72 divisors (see below), whose sum is σ = 161858624760. Its totient is φ = 22731947520.

The previous prime is 61565701541. The next prime is 61565701609. The reversal of 61565701600 is 610756516.

It is a super-2 number, since 2×61565701600² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61565701600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61565701609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2949490 + ... + 2970289.

It is an arithmetic number, because the mean of its divisors is an integer number (2248036455).

Almost surely, 2^61565701600 is an apocalyptic number.

It is an amenable number.

61565701600 is an abundant number, since it is smaller than the sum of its proper divisors (100292923160).

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

61565701600 is a wasteful number, since it uses less digits than its factorization.

61565701600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5919812 (or 5919799 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 61565701600 in words is "sixty-one billion, five hundred sixty-five million, seven hundred one thousand, six hundred".