561487264128 has 384 divisors, whose sum is σ = 1881536716800. Its totient is φ = 157399511040.

The previous prime is 561487264127. The next prime is 561487264133. The reversal of 561487264128 is 821462784165.

561487264128 is a `hidden beast` number, since 5 + 614 + 8 + 7 + 2 + 6 + 4 + 12 + 8 = 666.

561487264128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561487264127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235620825 + ... + 235623207.

It is an arithmetic number, because the mean of its divisors is an integer number (4899835200).

Almost surely, 2^561487264128 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 561487264128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940768358400).

561487264128 is an abundant number, since it is smaller than the sum of its proper divisors (1320049452672).

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

561487264128 is a wasteful number, since it uses less digits than its factorization.

561487264128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950 (or 2935 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 561487264128 in words is "five hundred sixty-one billion, four hundred eighty-seven million, two hundred sixty-four thousand, one hundred twenty-eight".