61139724140544 has 720 divisors, whose sum is σ = 196429915503360. Its totient is φ = 16896900464640.

The previous prime is 61139724140501. The next prime is 61139724140557. The reversal of 61139724140544 is 44504142793116.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 29267459052 + ... + 29267461140.

It is an arithmetic number, because the mean of its divisors is an integer number (272819327088).

Almost surely, 2^{61139724140544} is an apocalyptic number.

61139724140544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61139724140544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98214957751680).

61139724140544 is an abundant number, since it is smaller than the sum of its proper divisors (135290191362816).

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

61139724140544 is an frugal number, since it uses more digits than its factorization.

61139724140544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 61139724140544 in words is "sixty-one trillion, one hundred thirty-nine billion, seven hundred twenty-four million, one hundred forty thousand, five hundred forty-four".