5256033408000 has 1408 divisors, whose sum is σ = 20002956480000. Its totient is φ = 1360694476800.

The previous prime is 5256033407981. The next prime is 5256033408023. The reversal of 5256033408000 is 8043306525.

It is a happy number.

5256033408000 is a `hidden beast` number, since 5 + 2 + 5 + 603 + 3 + 40 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30381695914 + ... + 30381696086.

Almost surely, 2^{5256033408000} is an apocalyptic number.

5256033408000 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 5256033408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10001478240000).

5256033408000 is an abundant number, since it is smaller than the sum of its proper divisors (14746923072000).

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

5256033408000 is a wasteful number, since it uses less digits than its factorization.

5256033408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 5256033408000 in words is "five trillion, two hundred fifty-six billion, thirty-three million, four hundred eight thousand".