5256555433920 has 1344 divisors, whose sum is σ = 21959663910912. Its totient is φ = 1128701952000.

The previous prime is 5256555433903. The next prime is 5256555433933. The reversal of 5256555433920 is 293345556525.

5256555433920 is a `hidden beast` number, since 5 + 2 + 5 + 6 + 5 + 5 + 543 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6943930182 + ... + 6943930938.

It is an arithmetic number, because the mean of its divisors is an integer number (16339035648).

Almost surely, 2^{5256555433920} 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 5256555433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10979831955456).

5256555433920 is an abundant number, since it is smaller than the sum of its proper divisors (16703108476992).

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

5256555433920 is a wasteful number, since it uses less digits than its factorization.

5256555433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 24300000, while the sum is 54.

The spelling of 5256555433920 in words is "five trillion, two hundred fifty-six billion, five hundred fifty-five million, four hundred thirty-three thousand, nine hundred twenty".