561626553600 has 1620 divisors, whose sum is σ = 2436480638592. Its totient is φ = 123282432000.

The previous prime is 561626553539. The next prime is 561626553613. The reversal of 561626553600 is 6355626165.

561626553600 is a `hidden beast` number, since 5 + 6 + 16 + 26 + 5 + 5 + 3 + 600 = 666.

It is a super-2 number, since 2×561626553600² (a number of 24 digits) contains 22 as substring.

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 179 ways as a sum of consecutive naturals, for example, 4287225535 + ... + 4287225665.

Almost surely, 2^561626553600 is an apocalyptic number.

561626553600 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 561626553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218240319296).

561626553600 is an abundant number, since it is smaller than the sum of its proper divisors (1874854084992).

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

561626553600 is a wasteful number, since it uses less digits than its factorization.

561626553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 561626553600 in words is "five hundred sixty-one billion, six hundred twenty-six million, five hundred fifty-three thousand, six hundred".