5142758400 has 792 divisors, whose sum is σ = 21204283464. Its totient is φ = 1179648000.

The previous prime is 5142758399. The next prime is 5142758437. The reversal of 5142758400 is 48572415.

5142758400 is a `hidden beast` number, since 51 + 4 + 27 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 418120704 + 4724637696 = 20448^2 + 68736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50918350 + ... + 50918450.

Almost surely, 2^5142758400 is an apocalyptic number.

5142758400 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 5142758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10602141732).

5142758400 is an abundant number, since it is smaller than the sum of its proper divisors (16061525064).

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

5142758400 is a wasteful number, since it uses less digits than its factorization.

5142758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5142758400 is about 71713.0281050800. The cubic root of 5142758400 is about 1726.0977008277.

The spelling of 5142758400 in words is "five billion, one hundred forty-two million, seven hundred fifty-eight thousand, four hundred".