59420505795840 has 288 divisors, whose sum is σ = 240983163375360. Its totient is φ = 13581829840896.

The previous prime is 59420505795829. The next prime is 59420505795841. The reversal of 59420505795840 is 4859750502495.

59420505795840 is a `hidden beast` number, since 5 + 9 + 4 + 2 + 0 + 5 + 0 + 579 + 58 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×59420505795840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59420505795841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122568319 + ... + 123052158.

Almost surely, 2^{59420505795840} is an apocalyptic number.

It is an amenable number.

59420505795840 is an abundant number, since it is smaller than the sum of its proper divisors (181562657579520).

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

59420505795840 is a wasteful number, since it uses less digits than its factorization.

59420505795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245620514 (or 245620494 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 63.

The spelling of 59420505795840 in words is "fifty-nine trillion, four hundred twenty billion, five hundred five million, seven hundred ninety-five thousand, eight hundred forty".