561977523072 has 384 divisors, whose sum is σ = 1957435683840. Its totient is φ = 157145868288.

The previous prime is 561977523053. The next prime is 561977523143. The reversal of 561977523072 is 270325779165.

561977523072 is a `hidden beast` number, since 561 + 9 + 7 + 7 + 5 + 2 + 3 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10205758 + ... + 10260674.

It is an arithmetic number, because the mean of its divisors is an integer number (5097488760).

Almost surely, 2^561977523072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561977523072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978717841920).

561977523072 is an abundant number, since it is smaller than the sum of its proper divisors (1395458160768).

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

561977523072 is an equidigital number, since it uses as much as digits as its factorization.

561977523072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55000 (or 54976 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 561977523072 in words is "five hundred sixty-one billion, nine hundred seventy-seven million, five hundred twenty-three thousand, seventy-two".