61165564600320 has 168 divisors, whose sum is σ = 212027683293036. Its totient is φ = 16310817128448.

The previous prime is 61165564600219. The next prime is 61165564600433. The reversal of 61165564600320 is 2300646556116.

61165564600320 is a `hidden beast` number, since 6 + 1 + 1 + 6 + 5 + 5 + 6 + 4 + 600 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60834009747456 + 331554852864 = 7799616^2 + 575808^2 .

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 11 ways as a sum of consecutive naturals, for example, 82592467 + ... + 83329746.

Almost surely, 2^{61165564600320} is an apocalyptic number.

61165564600320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61165564600320 is an abundant number, since it is smaller than the sum of its proper divisors (150862118692716).

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

61165564600320 is a wasteful number, since it uses less digits than its factorization.

61165564600320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165922250 (or 165922223 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 61165564600320 in words is "sixty-one trillion, one hundred sixty-five billion, five hundred sixty-four million, six hundred thousand, three hundred twenty".