561215546411520 has 2560 divisors, whose sum is σ = 2454448905216000. Its totient is φ = 105617943429120.

The previous prime is 561215546411519. The next prime is 561215546411549. The reversal of 561215546411520 is 25114645512165.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 561215546411520.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 348797728476 + ... + 348797730084.

It is an arithmetic number, because the mean of its divisors is an integer number (958769103600).

Almost surely, 2^{561215546411520} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561215546411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227224452608000).

561215546411520 is an abundant number, since it is smaller than the sum of its proper divisors (1893233358804480).

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

561215546411520 is a wasteful number, since it uses less digits than its factorization.

561215546411520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 48.

The spelling of 561215546411520 in words is "five hundred sixty-one trillion, two hundred fifteen billion, five hundred forty-six million, four hundred eleven thousand, five hundred twenty".