561972297600 has 1728 divisors, whose sum is σ = 2482499859840. Its totient is φ = 125463582720.

The previous prime is 561972297599. The next prime is 561972297613. The reversal of 561972297600 is 6792279165.

561972297600 is a `hidden beast` number, since 5 + 6 + 1 + 9 + 7 + 2 + 29 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 13069123179 + ... + 13069123221.

Almost surely, 2^561972297600 is an apocalyptic number.

561972297600 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 561972297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241249929920).

561972297600 is an abundant number, since it is smaller than the sum of its proper divisors (1920527562240).

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

561972297600 is an frugal number, since it uses more digits than its factorization.

561972297600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 561972297600 in words is "five hundred sixty-one billion, nine hundred seventy-two million, two hundred ninety-seven thousand, six hundred".