561621306153600 has 3072 divisors, whose sum is σ = 2751542004326400. Its totient is φ = 108287262720000.

The previous prime is 561621306153569. The next prime is 561621306153659. The reversal of 561621306153600 is 6351603126165.

It is a happy number.

561621306153600 is a `hidden beast` number, since 5 + 6 + 1 + 6 + 2 + 1 + 30 + 6 + 1 + 5 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8029894630 + ... + 8029964570.

It is an arithmetic number, because the mean of its divisors is an integer number (895684246200).

Almost surely, 2^{561621306153600} is an apocalyptic number.

561621306153600 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 561621306153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375771002163200).

561621306153600 is an abundant number, since it is smaller than the sum of its proper divisors (2189920698172800).

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

561621306153600 is a wasteful number, since it uses less digits than its factorization.

561621306153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70080 (or 70057 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

Adding to 561621306153600 its reverse (6351603126165), we get a palindrome (567972909279765).

The spelling of 561621306153600 in words is "five hundred sixty-one trillion, six hundred twenty-one billion, three hundred six million, one hundred fifty-three thousand, six hundred".