61927298972100 has 81 divisors (see below), whose sum is σ = 194108418210343. Its totient is φ = 16513883437440.

The previous prime is 61927298972047. The next prime is 61927298972117. The reversal of 61927298972100 is 127989272916.

The square root of 61927298972100 is 7869390.

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

61927298972100 is a `hidden beast` number, since 61 + 9 + 272 + 9 + 8 + 97 + 210 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19325361107844 + 42601937864256 = 4396062^2 + 6527016^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 235950544 + ... + 236212856.

Almost surely, 2^{61927298972100} is an apocalyptic number.

61927298972100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

61927298972100 is the 7869390-th square number.

It is an amenable number.

61927298972100 is an abundant number, since it is smaller than the sum of its proper divisors (132181119238243).

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

61927298972100 is an frugal number, since it uses more digits than its factorization.

61927298972100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524646 (or 262323 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 61927298972100 in words is "sixty-one trillion, nine hundred twenty-seven billion, two hundred ninety-eight million, nine hundred seventy-two thousand, one hundred".