59519798240 has 288 divisors, whose sum is σ = 172754104320. Its totient is φ = 19268637696.

The previous prime is 59519798237. The next prime is 59519798267. The reversal of 59519798240 is 4289791595.

59519798240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 59519798240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68968049 + ... + 68968911.

It is an arithmetic number, because the mean of its divisors is an integer number (599840640).

Almost surely, 2^59519798240 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 59519798240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86377052160).

59519798240 is an abundant number, since it is smaller than the sum of its proper divisors (113234306080).

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

59519798240 is a wasteful number, since it uses less digits than its factorization.

59519798240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 59.

The spelling of 59519798240 in words is "fifty-nine billion, five hundred nineteen million, seven hundred ninety-eight thousand, two hundred forty".