501867878400 has 1728 divisors, whose sum is σ = 2222857728000. Its totient is φ = 110547763200.

The previous prime is 501867878389. The next prime is 501867878423. The reversal of 501867878400 is 4878768105.

It is a happy number.

501867878400 is a `hidden beast` number, since 50 + 186 + 7 + 8 + 7 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2099865481 + ... + 2099865719.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376000).

Almost surely, 2^501867878400 is an apocalyptic number.

501867878400 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 501867878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111428864000).

501867878400 is an abundant number, since it is smaller than the sum of its proper divisors (1720989849600).

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

501867878400 is a wasteful number, since it uses less digits than its factorization.

501867878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 501867878400 in words is "five hundred one billion, eight hundred sixty-seven million, eight hundred seventy-eight thousand, four hundred".