5212010400 has 144 divisors (see below), whose sum is σ = 17218835424. Its totient is φ = 1369082880.

The previous prime is 5212010371. The next prime is 5212010411. The reversal of 5212010400 is 40102125.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5212010400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144594 + ... + 177006.

It is an arithmetic number, because the mean of its divisors is an integer number (119575246).

Almost surely, 2^5212010400 is an apocalyptic number.

5212010400 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 5212010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8609417712).

5212010400 is an abundant number, since it is smaller than the sum of its proper divisors (12006825024).

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

5212010400 is a wasteful number, since it uses less digits than its factorization.

5212010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32503 (or 32490 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 5212010400 is about 72194.2546190485. The cubic root of 5212010400 is about 1733.8110156169.

Adding to 5212010400 its reverse (40102125), we get a palindrome (5252112525).

The spelling of 5212010400 in words is "five billion, two hundred twelve million, ten thousand, four hundred".