59552481795840 has 1080 divisors, whose sum is σ = 234512507977440. Its totient is φ = 14419097763840.

The previous prime is 59552481795823. The next prime is 59552481795881. The reversal of 59552481795840 is 4859718425595.

59552481795840 is a `hidden beast` number, since 5 + 9 + 5 + 5 + 24 + 8 + 17 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12131283306 + ... + 12131288214.

Almost surely, 2^{59552481795840} 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 59552481795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117256253988720).

59552481795840 is an abundant number, since it is smaller than the sum of its proper divisors (174960026181600).

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

59552481795840 is a wasteful number, since it uses less digits than its factorization.

59552481795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5931 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 725760000, while the sum is 72.

The spelling of 59552481795840 in words is "fifty-nine trillion, five hundred fifty-two billion, four hundred eighty-one million, seven hundred ninety-five thousand, eight hundred forty".