561677276160 has 3168 divisors, whose sum is σ = 2796980449536. Its totient is φ = 105106636800.

The previous prime is 561677276143. The next prime is 561677276177. The reversal of 561677276160 is 61672776165.

561677276160 is a `hidden beast` number, since 5 + 6 + 16 + 7 + 7 + 2 + 7 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (561677276143) and next prime (561677276177).

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is a junction number, because it is equal to n+sod(n) for n = 561677276097 and 561677276106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13699445740 + ... + 13699445780.

Almost surely, 2^561677276160 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 561677276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398490224768).

561677276160 is an abundant number, since it is smaller than the sum of its proper divisors (2235303173376).

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

561677276160 is a wasteful number, since it uses less digits than its factorization.

561677276160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 561677276160 in words is "five hundred sixty-one billion, six hundred seventy-seven million, two hundred seventy-six thousand, one hundred sixty".