5142533707584 has 420 divisors, whose sum is σ = 18865055857824. Its totient is φ = 1356271008768.

The previous prime is 5142533707543. The next prime is 5142533707607. The reversal of 5142533707584 is 4857073352415.

5142533707584 is a `hidden beast` number, since 5 + 1 + 4 + 2 + 53 + 3 + 7 + 0 + 7 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5142533707584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5713399 + ... + 6551945.

Almost surely, 2^{5142533707584} is an apocalyptic number.

5142533707584 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5142533707584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9432527928912).

5142533707584 is an abundant number, since it is smaller than the sum of its proper divisors (13722522150240).

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

5142533707584 is a wasteful number, since it uses less digits than its factorization.

5142533707584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838604 (or 838572 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 5142533707584 in words is "five trillion, one hundred forty-two billion, five hundred thirty-three million, seven hundred seven thousand, five hundred eighty-four".