5055076400 has 180 divisors, whose sum is σ = 13536607560. Its totient is φ = 1799116800.

The previous prime is 5055076387. The next prime is 5055076417. The reversal of 5055076400 is 46705505.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12359396 + ... + 12359804.

Almost surely, 2^5055076400 is an apocalyptic number.

5055076400 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 5055076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768303780).

5055076400 is an abundant number, since it is smaller than the sum of its proper divisors (8481531160).

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

5055076400 is a wasteful number, since it uses less digits than its factorization.

5055076400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 5055076400 is about 71099.0604719922. The cubic root of 5055076400 is about 1716.2316544192.

The spelling of 5055076400 in words is "five billion, fifty-five million, seventy-six thousand, four hundred".