506045755400 has 96 divisors (see below), whose sum is σ = 1205676269280. Its totient is φ = 197411904000.

The previous prime is 506045755399. The next prime is 506045755421. The reversal of 506045755400 is 4557540605.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27633047 + ... + 27651353.

It is an arithmetic number, because the mean of its divisors is an integer number (12559127805).

Almost surely, 2^506045755400 is an apocalyptic number.

506045755400 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 506045755400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602838134640).

506045755400 is an abundant number, since it is smaller than the sum of its proper divisors (699630513880).

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

506045755400 is a wasteful number, since it uses less digits than its factorization.

506045755400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21735 (or 21726 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 41.

The spelling of 506045755400 in words is "five hundred six billion, forty-five million, seven hundred fifty-five thousand, four hundred".