5133574608000 has 512 divisors, whose sum is σ = 18170842060800. Its totient is φ = 1278969753600.

The previous prime is 5133574607983. The next prime is 5133574608013. The reversal of 5133574608000 is 8064753315.

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, 47417931 + ... + 47526069.

It is an arithmetic number, because the mean of its divisors is an integer number (35489925900).

Almost surely, 2^{5133574608000} is an apocalyptic number.

5133574608000 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 5133574608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9085421030400).

5133574608000 is an abundant number, since it is smaller than the sum of its proper divisors (13037267452800).

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

5133574608000 is a wasteful number, since it uses less digits than its factorization.

5133574608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108237 (or 108215 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 5133574608000 in words is "five trillion, one hundred thirty-three billion, five hundred seventy-four million, six hundred eight thousand".