505478878400 has 126 divisors (see below), whose sum is σ = 1249501138788. Its totient is φ = 201268006400.

The previous prime is 505478878363. The next prime is 505478878417. The reversal of 505478878400 is 4878874505.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82443335 + ... + 82449465.

Almost surely, 2^505478878400 is an apocalyptic number.

505478878400 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 505478878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624750569394).

505478878400 is an abundant number, since it is smaller than the sum of its proper divisors (744022260388).

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

505478878400 is an equidigital number, since it uses as much as digits as its factorization.

505478878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6607 (or 6365 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 56.

The spelling of 505478878400 in words is "five hundred five billion, four hundred seventy-eight million, eight hundred seventy-eight thousand, four hundred".