61161648027480 has 1536 divisors, whose sum is σ = 279091370880000. Its totient is φ = 11711397519360.

The previous prime is 61161648027449. The next prime is 61161648027503. The reversal of 61161648027480 is 8472084616116.

61161648027480 is a `hidden beast` number, since 6 + 1 + 1 + 6 + 1 + 64 + 80 + 27 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4669177971 + ... + 4669191069.

It is an arithmetic number, because the mean of its divisors is an integer number (181700111250).

Almost surely, 2^{61161648027480} is an apocalyptic number.

61161648027480 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 61161648027480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139545685440000).

61161648027480 is an abundant number, since it is smaller than the sum of its proper divisors (217929722852520).

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

61161648027480 is a wasteful number, since it uses less digits than its factorization.

61161648027480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13774 (or 13757 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 61161648027480 in words is "sixty-one trillion, one hundred sixty-one billion, six hundred forty-eight million, twenty-seven thousand, four hundred eighty".