59865402240 has 768 divisors, whose sum is σ = 247504158720. Its totient is φ = 13544423424.

The previous prime is 59865402197. The next prime is 59865402263. The reversal of 59865402240 is 4220456895.

59865402240 is a `hidden beast` number, since 5 + 9 + 86 + 540 + 2 + 24 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 138257064 + ... + 138257496.

It is an arithmetic number, because the mean of its divisors is an integer number (322271040).

Almost surely, 2^59865402240 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 59865402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123752079360).

59865402240 is an abundant number, since it is smaller than the sum of its proper divisors (187638756480).

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

59865402240 is a wasteful number, since it uses less digits than its factorization.

59865402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 59865402240 in words is "fifty-nine billion, eight hundred sixty-five million, four hundred two thousand, two hundred forty".