5146512000 has 768 divisors, whose sum is σ = 21103130880. Its totient is φ = 1086259200.

The previous prime is 5146511987. The next prime is 5146512043. The reversal of 5146512000 is 2156415.

It is a super-2 number, since 2×5146512000² = 52973171532288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97103974 + ... + 97104026.

It is an arithmetic number, because the mean of its divisors is an integer number (27478035).

Almost surely, 2^5146512000 is an apocalyptic number.

5146512000 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 5146512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10551565440).

5146512000 is an abundant number, since it is smaller than the sum of its proper divisors (15956618880).

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

5146512000 is a wasteful number, since it uses less digits than its factorization.

5146512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5146512000 is about 71739.1943082720. The cubic root of 5146512000 is about 1726.5175471531.

Adding to 5146512000 its reverse (2156415), we get a palindrome (5148668415).

The spelling of 5146512000 in words is "five billion, one hundred forty-six million, five hundred twelve thousand".