5201780400 has 360 divisors, whose sum is σ = 18619567200. Its totient is φ = 1344245760.

The previous prime is 5201780387. The next prime is 5201780417. The reversal of 5201780400 is 40871025.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26139501 + ... + 26139699.

It is an arithmetic number, because the mean of its divisors is an integer number (51721020).

Almost surely, 2^5201780400 is an apocalyptic number.

5201780400 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 5201780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9309783600).

5201780400 is an abundant number, since it is smaller than the sum of its proper divisors (13417786800).

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

5201780400 is a wasteful number, since it uses less digits than its factorization.

5201780400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5201780400 is about 72123.3693056557. The cubic root of 5201780400 is about 1732.6759127487.

The spelling of 5201780400 in words is "five billion, two hundred one million, seven hundred eighty thousand, four hundred".