5144632012800 has 1248 divisors, whose sum is σ = 21708661032960. Its totient is φ = 1169974886400.

The previous prime is 5144632012799. The next prime is 5144632012829. The reversal of 5144632012800 is 82102364415.

It is a happy number.

5144632012800 is a `hidden beast` number, since 5 + 1 + 4 + 4 + 632 + 0 + 12 + 8 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 4664217049 + ... + 4664218151.

Almost surely, 2^{5144632012800} is an apocalyptic number.

5144632012800 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 5144632012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10854330516480).

5144632012800 is an abundant number, since it is smaller than the sum of its proper divisors (16564029020160).

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

5144632012800 is a wasteful number, since it uses less digits than its factorization.

5144632012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 5144632012800 in words is "five trillion, one hundred forty-four billion, six hundred thirty-two million, twelve thousand, eight hundred".