5112434880 has 560 divisors, whose sum is σ = 21892442880. Its totient is φ = 1106307072.

The previous prime is 5112434879. The next prime is 5112434893. The reversal of 5112434880 is 884342115.

5112434880 is a `hidden beast` number, since 51 + 124 + 3 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×5112434880² = 52273980804481228800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3446619 + ... + 3448101.

It is an arithmetic number, because the mean of its divisors is an integer number (39093648).

Almost surely, 2^5112434880 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 5112434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10946221440).

5112434880 is an abundant number, since it is smaller than the sum of its proper divisors (16780008000).

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

5112434880 is a wasteful number, since it uses less digits than its factorization.

5112434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5112434880 is about 71501.2928554442. The cubic root of 5112434880 is about 1722.6984504142.

Adding to 5112434880 its reverse (884342115), we get a palindrome (5996776995).

The spelling of 5112434880 in words is "five billion, one hundred twelve million, four hundred thirty-four thousand, eight hundred eighty".