5054006880 has 384 divisors, whose sum is σ = 19670999040. Its totient is φ = 1203517440.

The previous prime is 5054006873. The next prime is 5054006917. The reversal of 5054006880 is 886004505.

It is a happy number.

5054006880 is a `hidden beast` number, since 50 + 540 + 0 + 68 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1739509 + ... + 1742411.

It is an arithmetic number, because the mean of its divisors is an integer number (51226560).

Almost surely, 2^5054006880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5054006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9835499520).

5054006880 is an abundant number, since it is smaller than the sum of its proper divisors (14616992160).

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

5054006880 is a wasteful number, since it uses less digits than its factorization.

5054006880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5054006880 is about 71091.5387370396. The cubic root of 5054006880 is about 1716.1106095263.

The spelling of 5054006880 in words is "five billion, fifty-four million, six thousand, eight hundred eighty".