5012946400 has 288 divisors, whose sum is σ = 16158465792. Its totient is φ = 1470259200.

The previous prime is 5012946391. The next prime is 5012946403. The reversal of 5012946400 is 46492105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5012946403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1044807 + ... + 1049593.

It is an arithmetic number, because the mean of its divisors is an integer number (56105784).

Almost surely, 2^5012946400 is an apocalyptic number.

5012946400 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 5012946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8079232896).

5012946400 is an abundant number, since it is smaller than the sum of its proper divisors (11145519392).

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

5012946400 is a wasteful number, since it uses less digits than its factorization.

5012946400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4842 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 5012946400 is about 70802.1638087425. The cubic root of 5012946400 is about 1711.4505435331.

The spelling of 5012946400 in words is "five billion, twelve million, nine hundred forty-six thousand, four hundred".