5206112787456 has 880 divisors, whose sum is σ = 18718003814400. Its totient is φ = 1439234334720.

The previous prime is 5206112787451. The next prime is 5206112787461. The reversal of 5206112787456 is 6547872116025.

It is a happy number.

5206112787456 is a `hidden beast` number, since 5 + 2 + 0 + 6 + 112 + 78 + 7 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (5206112787451) and next prime (5206112787461).

It is a super-2 number, since 2×5206112787456² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5206112787451) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 881940601 + ... + 881946503.

It is an arithmetic number, because the mean of its divisors is an integer number (21270458880).

Almost surely, 2^{5206112787456} is an apocalyptic number.

5206112787456 is a gapful number since it is divisible by the number (56) 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 5206112787456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359001907200).

5206112787456 is an abundant number, since it is smaller than the sum of its proper divisors (13511891026944).

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

5206112787456 is an equidigital number, since it uses as much as digits as its factorization.

5206112787456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5987 (or 5946 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 5206112787456 in words is "five trillion, two hundred six billion, one hundred twelve million, seven hundred eighty-seven thousand, four hundred fifty-six".