5250402819900 has 2880 divisors, whose sum is σ = 22562635898880. Its totient is φ = 1028372889600.

The previous prime is 5250402819889. The next prime is 5250402819919. The reversal of 5250402819900 is 99182040525.

It is a happy number.

5250402819900 is a `hidden beast` number, since 5 + 2 + 50 + 402 + 8 + 199 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 63257865259 + ... + 63257865341.

It is an arithmetic number, because the mean of its divisors is an integer number (7834248576).

Almost surely, 2^{5250402819900} is an apocalyptic number.

5250402819900 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 5250402819900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11281317949440).

5250402819900 is an abundant number, since it is smaller than the sum of its proper divisors (17312233078980).

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

5250402819900 is a wasteful number, since it uses less digits than its factorization.

5250402819900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 5250402819900 in words is "five trillion, two hundred fifty billion, four hundred two million, eight hundred nineteen thousand, nine hundred".