61559220602880 has 4608 divisors, whose sum is σ = 301169735193600. Its totient is φ = 11603772702720.

The previous prime is 61559220602879. The next prime is 61559220602903. The reversal of 61559220602880 is 8820602295516.

61559220602880 is a `hidden beast` number, since 6 + 1 + 5 + 5 + 9 + 2 + 20 + 602 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

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, 222235453302 + ... + 222235453578.

It is an arithmetic number, because the mean of its divisors is an integer number (65358015450).

Almost surely, 2^{61559220602880} is an apocalyptic number.

61559220602880 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 61559220602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150584867596800).

61559220602880 is an abundant number, since it is smaller than the sum of its proper divisors (239610514590720).

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

61559220602880 is a wasteful number, since it uses less digits than its factorization.

61559220602880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 61559220602880 in words is "sixty-one trillion, five hundred fifty-nine billion, two hundred twenty million, six hundred two thousand, eight hundred eighty".