5145416000 has 112 divisors (see below), whose sum is σ = 12863852352. Its totient is φ = 2038592000.

The previous prime is 5145415999. The next prime is 5145416033. The reversal of 5145416000 is 6145415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 852995 + ... + 859005.

Almost surely, 2^5145416000 is an apocalyptic number.

5145416000 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 5145416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6431926176).

5145416000 is an abundant number, since it is smaller than the sum of its proper divisors (7718436352).

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

5145416000 is a wasteful number, since it uses less digits than its factorization.

5145416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6145 (or 6125 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 5145416000 is about 71731.5551204628. Note that the first 3 decimals coincide. The cubic root of 5145416000 is about 1726.3949788600.

The spelling of 5145416000 in words is "five billion, one hundred forty-five million, four hundred sixteen thousand".