561256076160 has 640 divisors, whose sum is σ = 2174640652800. Its totient is φ = 137124347904.

The previous prime is 561256076131. The next prime is 561256076189. The reversal of 561256076160 is 61670652165.

561256076160 is a `hidden beast` number, since 5 + 6 + 1 + 2 + 560 + 76 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (561256076131) and next prime (561256076189).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92324001 + ... + 92330079.

It is an arithmetic number, because the mean of its divisors is an integer number (3397876020).

Almost surely, 2^561256076160 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 561256076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087320326400).

561256076160 is an abundant number, since it is smaller than the sum of its proper divisors (1613384576640).

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

561256076160 is a wasteful number, since it uses less digits than its factorization.

561256076160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6260 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 561256076160 in words is "five hundred sixty-one billion, two hundred fifty-six million, seventy-six thousand, one hundred sixty".