61104802560 has 288 divisors, whose sum is σ = 210212808960. Its totient is φ = 15077228544.

The previous prime is 61104802531. The next prime is 61104802589. The reversal of 61104802560 is 6520840116.

It is an interprime number because it is at equal distance from previous prime (61104802531) and next prime (61104802589).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3127542 + ... + 3147018.

Almost surely, 2^61104802560 is an apocalyptic number.

61104802560 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 61104802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105106404480).

61104802560 is an abundant number, since it is smaller than the sum of its proper divisors (149108006400).

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

61104802560 is a wasteful number, since it uses less digits than its factorization.

61104802560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19563 (or 19549 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 61104802560 in words is "sixty-one billion, one hundred four million, eight hundred two thousand, five hundred sixty".