5141856000 has 288 divisors, whose sum is σ = 17983929600. Its totient is φ = 1298534400.

The previous prime is 5141855969. The next prime is 5141856017. The reversal of 5141856000 is 6581415.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1822591 + ... + 1825409.

It is an arithmetic number, because the mean of its divisors is an integer number (62444200).

Almost surely, 2^5141856000 is an apocalyptic number.

5141856000 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 5141856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8991964800).

5141856000 is an abundant number, since it is smaller than the sum of its proper divisors (12842073600).

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

5141856000 is a wasteful number, since it uses less digits than its factorization.

5141856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 5141856000 is about 71706.7360852521. The cubic root of 5141856000 is about 1725.9967354469.

The spelling of 5141856000 in words is "five billion, one hundred forty-one million, eight hundred fifty-six thousand".