5152820400 has 960 divisors, whose sum is σ = 23248512000. Its totient is φ = 1077027840.

The previous prime is 5152820381. The next prime is 5152820443. The reversal of 5152820400 is 40282515.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48157147 + ... + 48157253.

It is an arithmetic number, because the mean of its divisors is an integer number (24217200).

Almost surely, 2^5152820400 is an apocalyptic number.

5152820400 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 5152820400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11624256000).

5152820400 is an abundant number, since it is smaller than the sum of its proper divisors (18095691600).

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

5152820400 is a wasteful number, since it uses less digits than its factorization.

5152820400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5152820400 is about 71783.1484402851. The cubic root of 5152820400 is about 1727.2226924481. Note that the first 3 decimals are identical.

The spelling of 5152820400 in words is "five billion, one hundred fifty-two million, eight hundred twenty thousand, four hundred".