561502156800 has 1152 divisors, whose sum is σ = 2118344417280. Its totient is φ = 130233139200.

The previous prime is 561502156783. The next prime is 561502156849. The reversal of 561502156800 is 8651205165.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2909337504 + ... + 2909337696.

It is an arithmetic number, because the mean of its divisors is an integer number (1838840640).

Almost surely, 2^561502156800 is an apocalyptic number.

561502156800 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 561502156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059172208640).

561502156800 is an abundant number, since it is smaller than the sum of its proper divisors (1556842260480).

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

561502156800 is a wasteful number, since it uses less digits than its factorization.

561502156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 561502156800 in words is "five hundred sixty-one billion, five hundred two million, one hundred fifty-six thousand, eight hundred".