560648088000 has 1792 divisors, whose sum is σ = 2762851553280. Its totient is φ = 107495424000.

The previous prime is 560648087939. The next prime is 560648088019. The reversal of 560648088000 is 880846065.

560648088000 is a `hidden beast` number, since 560 + 6 + 4 + 8 + 0 + 8 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 216214704 + ... + 216217296.

It is an arithmetic number, because the mean of its divisors is an integer number (1541769840).

Almost surely, 2^560648088000 is an apocalyptic number.

560648088000 is a gapful number since it is divisible by the number (50) 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 560648088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381425776640).

560648088000 is an abundant number, since it is smaller than the sum of its proper divisors (2202203465280).

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

560648088000 is a wasteful number, since it uses less digits than its factorization.

560648088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 560648088000 in words is "five hundred sixty billion, six hundred forty-eight million, eighty-eight thousand".