561210906240 has 256 divisors, whose sum is σ = 1992973593600. Its totient is φ = 149253304320.

The previous prime is 561210906239. The next prime is 561210906253. The reversal of 561210906240 is 42609012165.

561210906240 is a `hidden beast` number, since 5 + 6 + 1 + 21 + 0 + 9 + 0 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 561210906195 and 561210906204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6401905 + ... + 6488975.

It is an arithmetic number, because the mean of its divisors is an integer number (7785053100).

Almost surely, 2^561210906240 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 561210906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996486796800).

561210906240 is an abundant number, since it is smaller than the sum of its proper divisors (1431762687360).

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

561210906240 is a wasteful number, since it uses less digits than its factorization.

561210906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87472 (or 87454 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 561210906240 in words is "five hundred sixty-one billion, two hundred ten million, nine hundred six thousand, two hundred forty".