59772345282 has 128 divisors (see below), whose sum is σ = 145722931200. Its totient is φ = 18048287808.

The previous prime is 59772345277. The next prime is 59772345289. The reversal of 59772345282 is 28254327795.

59772345282 is a `hidden beast` number, since 5 + 97 + 7 + 23 + 4 + 528 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (59772345289) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36736953 + ... + 36738579.

It is an arithmetic number, because the mean of its divisors is an integer number (1138460400).

Almost surely, 2^59772345282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59772345282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72861465600).

59772345282 is an abundant number, since it is smaller than the sum of its proper divisors (85950585918).

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

59772345282 is a wasteful number, since it uses less digits than its factorization.

59772345282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597 (or 2591 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 59772345282 in words is "fifty-nine billion, seven hundred seventy-two million, three hundred forty-five thousand, two hundred eighty-two".