561552877200 has 480 divisors, whose sum is σ = 2108941408000. Its totient is φ = 127671828480.

The previous prime is 561552877183. The next prime is 561552877211. The reversal of 561552877200 is 2778255165.

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 561552877200.

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, 79435266 + ... + 79442334.

Almost surely, 2^561552877200 is an apocalyptic number.

561552877200 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 561552877200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054470704000).

561552877200 is an abundant number, since it is smaller than the sum of its proper divisors (1547388530800).

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

561552877200 is a wasteful number, since it uses less digits than its factorization.

561552877200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7304 (or 7279 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 48.

The spelling of 561552877200 in words is "five hundred sixty-one billion, five hundred fifty-two million, eight hundred seventy-seven thousand, two hundred".