5034458880 has 1152 divisors, whose sum is σ = 22251801600. Its totient is φ = 1061683200.

The previous prime is 5034458879. The next prime is 5034458929. The reversal of 5034458880 is 888544305.

5034458880 is a `hidden beast` number, since 50 + 3 + 445 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122791660 + ... + 122791700.

It is an arithmetic number, because the mean of its divisors is an integer number (19315800).

Almost surely, 2^5034458880 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 5034458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11125900800).

5034458880 is an abundant number, since it is smaller than the sum of its proper divisors (17217342720).

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

5034458880 is a wasteful number, since it uses less digits than its factorization.

5034458880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 5034458880 is about 70953.9208218968. The cubic root of 5034458880 is about 1713.8952139111.

The spelling of 5034458880 in words is "five billion, thirty-four million, four hundred fifty-eight thousand, eight hundred eighty".