61489117126080 has 672 divisors, whose sum is σ = 245167820771328. Its totient is φ = 13853870899200.

The previous prime is 61489117125941. The next prime is 61489117126103. The reversal of 61489117126080 is 8062171198416.

61489117126080 is a `hidden beast` number, since 6 + 1 + 4 + 8 + 9 + 1 + 17 + 12 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2665200945 + ... + 2665224015.

It is an arithmetic number, because the mean of its divisors is an integer number (364833066624).

Almost surely, 2^{61489117126080} is an apocalyptic number.

61489117126080 is a gapful number since it is divisible by the number (60) 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 61489117126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122583910385664).

61489117126080 is an abundant number, since it is smaller than the sum of its proper divisors (183678703645248).

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

61489117126080 is a wasteful number, since it uses less digits than its factorization.

61489117126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24985 (or 24972 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 61489117126080 in words is "sixty-one trillion, four hundred eighty-nine billion, one hundred seventeen million, one hundred twenty-six thousand, eighty".