61056323206560 has 144 divisors (see below), whose sum is σ = 227296039632480. Its totient is φ = 14801532894720.

The previous prime is 61056323206547. The next prime is 61056323206573. The reversal of 61056323206560 is 6560232365016.

61056323206560 is a `hidden beast` number, since 6 + 1 + 0 + 5 + 63 + 2 + 3 + 20 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (61056323206547) and next prime (61056323206573).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1927267090 + ... + 1927298769.

It is an arithmetic number, because the mean of its divisors is an integer number (1578444719670).

Almost surely, 2^{61056323206560} is an apocalyptic number.

61056323206560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61056323206560 is an abundant number, since it is smaller than the sum of its proper divisors (166239716425920).

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

61056323206560 is a wasteful number, since it uses less digits than its factorization.

61056323206560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854565891 (or 3854565880 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 61056323206560 in words is "sixty-one trillion, fifty-six billion, three hundred twenty-three million, two hundred six thousand, five hundred sixty".