5138664300 has 810 divisors, whose sum is σ = 21497866236. Its totient is φ = 1057795200.

The previous prime is 5138664287. The next prime is 5138664313. The reversal of 5138664300 is 34668315.

5138664300 is a `hidden beast` number, since 5 + 1 + 3 + 8 + 6 + 643 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5138664287) and next prime (5138664313).

It is a tau number, because it is divible by the number of its divisors (810).

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 269 ways as a sum of consecutive naturals, for example, 48024847 + ... + 48024953.

Almost surely, 2^5138664300 is an apocalyptic number.

5138664300 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 5138664300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10748933118).

5138664300 is an abundant number, since it is smaller than the sum of its proper divisors (16359201936).

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

5138664300 is a wasteful number, since it uses less digits than its factorization.

5138664300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5138664300 is about 71684.4773992250. The cubic root of 5138664300 is about 1725.6395360225.

The spelling of 5138664300 in words is "five billion, one hundred thirty-eight million, six hundred sixty-four thousand, three hundred".