561858950016 has 288 divisors, whose sum is σ = 2025453994200. Its totient is φ = 148182386688.

The previous prime is 561858949957. The next prime is 561858950021. The reversal of 561858950016 is 610059858165.

561858950016 is a `hidden beast` number, since 5 + 6 + 1 + 8 + 589 + 50 + 0 + 1 + 6 = 666.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 350995 + ... + 1116653.

Almost surely, 2^561858950016 is an apocalyptic number.

561858950016 is a gapful number since it is divisible by the number (56) 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 561858950016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012726997100).

561858950016 is an abundant number, since it is smaller than the sum of its proper divisors (1463595044184).

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

561858950016 is a wasteful number, since it uses less digits than its factorization.

561858950016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765706 (or 765684 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 561858950016 in words is "five hundred sixty-one billion, eight hundred fifty-eight million, nine hundred fifty thousand, sixteen".