5129625600 has 756 divisors, whose sum is σ = 21074698008. Its totient is φ = 1189478400.

The previous prime is 5129625581. The next prime is 5129625619. The reversal of 5129625600 is 65269215.

5129625600 is a `hidden beast` number, since 5 + 1 + 2 + 96 + 2 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5129625581) and next prime (5129625619).

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 53 ways as a sum of consecutive naturals, for example, 223027189 + ... + 223027211.

Almost surely, 2^5129625600 is an apocalyptic number.

5129625600 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 5129625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10537349004).

5129625600 is an abundant number, since it is smaller than the sum of its proper divisors (15945072408).

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

5129625600 is a wasteful number, since it uses less digits than its factorization.

5129625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5129625600 is about 71621.4046218028. The cubic root of 5129625600 is about 1724.6271657998.

It can be divided in two parts, 5129625 and 600, that added together give a square (5130225 = 2265²).

The spelling of 5129625600 in words is "five billion, one hundred twenty-nine million, six hundred twenty-five thousand, six hundred".