506027768400 has 1680 divisors, whose sum is σ = 2349070983168. Its totient is φ = 101616768000.

The previous prime is 506027768381. The next prime is 506027768443. The reversal of 506027768400 is 4867720605.

It is a tau number, because it is divible by the number of its divisors (1680).

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 335 ways as a sum of consecutive naturals, for example, 696048837 + ... + 696049563.

Almost surely, 2^506027768400 is an apocalyptic number.

506027768400 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 506027768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174535491584).

506027768400 is an abundant number, since it is smaller than the sum of its proper divisors (1843043214768).

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

506027768400 is a wasteful number, since it uses less digits than its factorization.

506027768400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 506027768400 in words is "five hundred six billion, twenty-seven million, seven hundred sixty-eight thousand, four hundred".