5187200279760 has 320 divisors, whose sum is σ = 19115719968000. Its totient is φ = 1288967178240.

The previous prime is 5187200279719. The next prime is 5187200279771. The reversal of 5187200279760 is 679720027815.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 5187200279697 and 5187200279706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1467426 + ... + 3539454.

It is an arithmetic number, because the mean of its divisors is an integer number (59736624900).

Almost surely, 2^{5187200279760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5187200279760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9557859984000).

5187200279760 is an abundant number, since it is smaller than the sum of its proper divisors (13928519688240).

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

5187200279760 is a wasteful number, since it uses less digits than its factorization.

5187200279760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072131 (or 2072119 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 5187200279760 in words is "five trillion, one hundred eighty-seven billion, two hundred million, two hundred seventy-nine thousand, seven hundred sixty".