5109721385600 has 192 divisors, whose sum is σ = 13601614362840. Its totient is φ = 1885551083520.

The previous prime is 5109721385597. The next prime is 5109721385623. The reversal of 5109721385600 is 65831279015.

It can be written as a sum of positive squares in 12 ways, for example, as 699150167104 + 4410571218496 = 836152^2 + 2100136^2 .

It is a super-2 number, since 2×5109721385600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72057362 + ... + 72128238.

Almost surely, 2^{5109721385600} is an apocalyptic number.

5109721385600 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 5109721385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6800807181420).

5109721385600 is an abundant number, since it is smaller than the sum of its proper divisors (8491892977240).

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

5109721385600 is a wasteful number, since it uses less digits than its factorization.

5109721385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72647 (or 72630 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 47.

The spelling of 5109721385600 in words is "five trillion, one hundred nine billion, seven hundred twenty-one million, three hundred eighty-five thousand, six hundred".