59729066712 has 256 divisors, whose sum is σ = 198210355200. Its totient is φ = 16294608000.

The previous prime is 59729066711. The next prime is 59729066713. The reversal of 59729066712 is 21766092795.

It is an interprime number because it is at equal distance from previous prime (59729066711) and next prime (59729066713).

It is a super-2 number, since 2×59729066712² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59729066711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26115633 + ... + 26117919.

It is an arithmetic number, because the mean of its divisors is an integer number (774259200).

Almost surely, 2^59729066712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59729066712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99105177600).

59729066712 is an abundant number, since it is smaller than the sum of its proper divisors (138481288488).

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

59729066712 is a wasteful number, since it uses less digits than its factorization.

59729066712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 59729066712 in words is "fifty-nine billion, seven hundred twenty-nine million, sixty-six thousand, seven hundred twelve".