5142335923000 has 64 divisors (see below), whose sum is σ = 12038932077120. Its totient is φ = 2055931632000.

The previous prime is 5142335922989. The next prime is 5142335923009. The reversal of 5142335923000 is 3295332415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5142335923009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 800605 + ... + 3305395.

It is an arithmetic number, because the mean of its divisors is an integer number (188108313705).

Almost surely, 2^{5142335923000} is an apocalyptic number.

5142335923000 is a gapful number since it is divisible by the number (50) 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 5142335923000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6019466038560).

5142335923000 is an abundant number, since it is smaller than the sum of its proper divisors (6896596154120).

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

5142335923000 is a wasteful number, since it uses less digits than its factorization.

5142335923000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506865 (or 2506851 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The spelling of 5142335923000 in words is "five trillion, one hundred forty-two billion, three hundred thirty-five million, nine hundred twenty-three thousand".