542059369488 has 640 divisors, whose sum is σ = 2069117568000. Its totient is φ = 134543130624.

The previous prime is 542059369451. The next prime is 542059369541. The reversal of 542059369488 is 884963950245.

542059369488 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 5 + 93 + 69 + 488 = 666.

It is a super-3 number, since 3×542059369488³ (a number of 36 digits) contains 333 as substring.

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

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, 32738620 + ... + 32755172.

It is an arithmetic number, because the mean of its divisors is an integer number (3232996200).

Almost surely, 2^542059369488 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 542059369488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034558784000).

542059369488 is an abundant number, since it is smaller than the sum of its proper divisors (1527058198512).

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

542059369488 is a wasteful number, since it uses less digits than its factorization.

542059369488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16621 (or 16595 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 542059369488 in words is "five hundred forty-two billion, fifty-nine million, three hundred sixty-nine thousand, four hundred eighty-eight".