5200997777964 has 192 divisors, whose sum is σ = 14327040000000. Its totient is φ = 1627062914880.

The previous prime is 5200997777917. The next prime is 5200997777999. The reversal of 5200997777964 is 4697777990025.

5200997777964 is a `hidden beast` number, since 520 + 0 + 9 + 9 + 7 + 7 + 7 + 7 + 96 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5200997777892 and 5200997777901.

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, 103997037 + ... + 104047035.

It is an arithmetic number, because the mean of its divisors is an integer number (74620000000).

Almost surely, 2^{5200997777964} is an apocalyptic number.

5200997777964 is a gapful number since it is divisible by the number (54) 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 5200997777964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163520000000).

5200997777964 is an abundant number, since it is smaller than the sum of its proper divisors (9126042222036).

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

5200997777964 is a wasteful number, since it uses less digits than its factorization.

5200997777964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50505 (or 50497 counting only the distinct ones).

The product of its (nonzero) digits is 420078960, while the sum is 72.

The spelling of 5200997777964 in words is "five trillion, two hundred billion, nine hundred ninety-seven million, seven hundred seventy-seven thousand, nine hundred sixty-four".