5142009600 has 1080 divisors, whose sum is σ = 23614495520. Its totient is φ = 1074954240.

The previous prime is 5142009599. The next prime is 5142009637. The reversal of 5142009600 is 69002415.

5142009600 is a `hidden beast` number, since 51 + 4 + 2 + 0 + 0 + 9 + 600 = 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 (27).

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, 47174346 + ... + 47174454.

Almost surely, 2^5142009600 is an apocalyptic number.

5142009600 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 5142009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11807247760).

5142009600 is an abundant number, since it is smaller than the sum of its proper divisors (18472485920).

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

5142009600 is a wasteful number, since it uses less digits than its factorization.

5142009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5142009600 is about 71707.8071063395. The cubic root of 5142009600 is about 1726.0139218778.

The spelling of 5142009600 in words is "five billion, one hundred forty-two million, nine thousand, six hundred".