59123742480 has 960 divisors, whose sum is σ = 240422826240. Its totient is φ = 13237862400.

The previous prime is 59123742473. The next prime is 59123742533. The reversal of 59123742480 is 8424732195.

59123742480 is a `hidden beast` number, since 5 + 9 + 123 + 7 + 42 + 480 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 523218904 + ... + 523219016.

It is an arithmetic number, because the mean of its divisors is an integer number (250440444).

Almost surely, 2^59123742480 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 59123742480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120211413120).

59123742480 is an abundant number, since it is smaller than the sum of its proper divisors (181299083760).

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

59123742480 is a wasteful number, since it uses less digits than its factorization.

59123742480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 59123742480 in words is "fifty-nine billion, one hundred twenty-three million, seven hundred forty-two thousand, four hundred eighty".