5129892000 has 480 divisors, whose sum is σ = 19179224064. Its totient is φ = 1342656000.

The previous prime is 5129891981. The next prime is 5129892029. The reversal of 5129892000 is 2989215.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23003889 + ... + 23004111.

Almost surely, 2^5129892000 is an apocalyptic number.

5129892000 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 5129892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9589612032).

5129892000 is an abundant number, since it is smaller than the sum of its proper divisors (14049332064).

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

5129892000 is a wasteful number, since it uses less digits than its factorization.

5129892000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 5129892000 is about 71623.2643768769. The cubic root of 5129892000 is about 1724.6570206573.

The spelling of 5129892000 in words is "five billion, one hundred twenty-nine million, eight hundred ninety-two thousand".