61560059904 has 288 divisors, whose sum is σ = 209764638720. Its totient is φ = 17020108800.

The previous prime is 61560059893. The next prime is 61560059929. The reversal of 61560059904 is 40995006516.

It is a happy number.

61560059904 is a `hidden beast` number, since 6 + 1 + 56 + 0 + 0 + 599 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 61560059904.

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, 3992049 + ... + 4007439.

It is an arithmetic number, because the mean of its divisors is an integer number (728349440).

Almost surely, 2^61560059904 is an apocalyptic number.

61560059904 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 61560059904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104882319360).

61560059904 is an abundant number, since it is smaller than the sum of its proper divisors (148204578816).

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

61560059904 is a wasteful number, since it uses less digits than its factorization.

61560059904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15457 (or 15434 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 61560059904 in words is "sixty-one billion, five hundred sixty million, fifty-nine thousand, nine hundred four".