5012795289600 has 2184 divisors, whose sum is σ = 21820963181472. Its totient is φ = 1117952409600.

The previous prime is 5012795289553. The next prime is 5012795289613. The reversal of 5012795289600 is 69825972105.

5012795289600 is a `hidden beast` number, since 5 + 0 + 1 + 2 + 7 + 9 + 5 + 28 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 27695001510 + ... + 27695001690.

It is an arithmetic number, because the mean of its divisors is an integer number (9991283508).

Almost surely, 2^{5012795289600} is an apocalyptic number.

5012795289600 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 5012795289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10910481590736).

5012795289600 is an abundant number, since it is smaller than the sum of its proper divisors (16808167891872).

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

5012795289600 is an equidigital number, since it uses as much as digits as its factorization.

5012795289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 5012795289600 in words is "five trillion, twelve billion, seven hundred ninety-five million, two hundred eighty-nine thousand, six hundred".