5266635976800 has 864 divisors, whose sum is σ = 21387693600000. Its totient is φ = 1206069350400.

The previous prime is 5266635976783. The next prime is 5266635976831. The reversal of 5266635976800 is 86795366625.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 540218326 + ... + 540228074.

It is an arithmetic number, because the mean of its divisors is an integer number (24754275000).

Almost surely, 2^{5266635976800} is an apocalyptic number.

5266635976800 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 5266635976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10693846800000).

5266635976800 is an abundant number, since it is smaller than the sum of its proper divisors (16121057623200).

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

5266635976800 is a wasteful number, since it uses less digits than its factorization.

5266635976800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10164 (or 10148 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 5266635976800 in words is "five trillion, two hundred sixty-six billion, six hundred thirty-five million, nine hundred seventy-six thousand, eight hundred".