61729616055420 has 72 divisors (see below), whose sum is σ = 187249569102960. Its totient is φ = 16460961315840.

The previous prime is 61729616055391. The next prime is 61729616055461. The reversal of 61729616055420 is 2455061692716.

61729616055420 is a `hidden beast` number, since 6 + 1 + 7 + 2 + 9 + 6 + 1 + 60 + 554 + 20 = 666.

It is a super-2 number, since 2×61729616055420² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8333415 + ... + 13889025.

Almost surely, 2^{61729616055420} is an apocalyptic number.

61729616055420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61729616055420 is an abundant number, since it is smaller than the sum of its proper divisors (125519953047540).

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

61729616055420 is a wasteful number, since it uses less digits than its factorization.

61729616055420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5617355 (or 5617350 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 61729616055420 in words is "sixty-one trillion, seven hundred twenty-nine billion, six hundred sixteen million, fifty-five thousand, four hundred twenty".