61156622872900 has 81 divisors (see below), whose sum is σ = 133017910957911. Its totient is φ = 24405999113280.

The previous prime is 61156622872847. The next prime is 61156622872903. The reversal of 61156622872900 is 927822665116.

The square root of 61156622872900 is 7820270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 16890275209284 + 44266347663616 = 4109778^2 + 6653296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61156622872903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55445713749 + ... + 55445714851.

Almost surely, 2^{61156622872900} is an apocalyptic number.

61156622872900 is the 7820270-th square number.

It is an amenable number.

61156622872900 is an abundant number, since it is smaller than the sum of its proper divisors (71861288085011).

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

61156622872900 is an frugal number, since it uses more digits than its factorization.

61156622872900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 61156622872900 in words is "sixty-one trillion, one hundred fifty-six billion, six hundred twenty-two million, eight hundred seventy-two thousand, nine hundred".