5254520832000 has 2448 divisors, whose sum is σ = 22625916418560. Its totient is φ = 1167851520000.

The previous prime is 5254520831927. The next prime is 5254520832007. The reversal of 5254520832000 is 2380254525.

It is a happy number.

5254520832000 is a `hidden beast` number, since 5 + 2 + 54 + 520 + 83 + 2 + 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 not an unprimeable number, because it can be changed into a prime (5254520832007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 169500671985 + ... + 169500672015.

Almost surely, 2^{5254520832000} is an apocalyptic number.

5254520832000 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 5254520832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11312958209280).

5254520832000 is an abundant number, since it is smaller than the sum of its proper divisors (17371395586560).

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

5254520832000 is a wasteful number, since it uses less digits than its factorization.

5254520832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 5254520832000 in words is "five trillion, two hundred fifty-four billion, five hundred twenty million, eight hundred thirty-two thousand".