61605061610580 has 288 divisors, whose sum is σ = 197141391982080. Its totient is φ = 16144079414400.

The previous prime is 61605061610569. The next prime is 61605061610591. The reversal of 61605061610580 is 8501616050616.

61605061610580 is a `hidden beast` number, since 6 + 1 + 6 + 0 + 5 + 0 + 6 + 1 + 61 + 0 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (61605061610569) and next prime (61605061610591).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 879396555 + ... + 879466605.

It is an arithmetic number, because the mean of its divisors is an integer number (684518722160).

Almost surely, 2^{61605061610580} is an apocalyptic number.

61605061610580 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61605061610580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98570695991040).

61605061610580 is an abundant number, since it is smaller than the sum of its proper divisors (135536330371500).

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

61605061610580 is a wasteful number, since it uses less digits than its factorization.

61605061610580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73201 (or 73187 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 61605061610580 in words is "sixty-one trillion, six hundred five billion, sixty-one million, six hundred ten thousand, five hundred eighty".