59855142240 has 768 divisors, whose sum is σ = 233265070080. Its totient is φ = 14266368000.

The previous prime is 59855142233. The next prime is 59855142341. The reversal of 59855142240 is 4224155895.

59855142240 is a `hidden beast` number, since 5 + 98 + 5 + 514 + 2 + 2 + 40 = 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 127 ways as a sum of consecutive naturals, for example, 138874825 + ... + 138875255.

It is an arithmetic number, because the mean of its divisors is an integer number (303730560).

Almost surely, 2^59855142240 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 59855142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116632535040).

59855142240 is an abundant number, since it is smaller than the sum of its proper divisors (173409927840).

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

59855142240 is a wasteful number, since it uses less digits than its factorization.

59855142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 59855142240 in words is "fifty-nine billion, eight hundred fifty-five million, one hundred forty-two thousand, two hundred forty".