61059640320 has 1408 divisors, whose sum is σ = 270714931200. Its totient is φ = 12899450880.

The previous prime is 61059640309. The next prime is 61059640351. The reversal of 61059640320 is 2304695016.

It is a happy number.

61059640320 is a `hidden beast` number, since 6 + 1 + 0 + 5 + 9 + 640 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1489259500 + ... + 1489259540.

Almost surely, 2^61059640320 is an apocalyptic number.

61059640320 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 61059640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135357465600).

61059640320 is an abundant number, since it is smaller than the sum of its proper divisors (209655290880).

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

61059640320 is an equidigital number, since it uses as much as digits as its factorization.

61059640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 61059640320 in words is "sixty-one billion, fifty-nine million, six hundred forty thousand, three hundred twenty".