5133627594000 has 960 divisors, whose sum is σ = 19505576563200. Its totient is φ = 1254210048000.

The previous prime is 5133627593953. The next prime is 5133627594013. The reversal of 5133627594000 is 4957263315.

5133627594000 is a `hidden beast` number, since 5 + 1 + 3 + 36 + 27 + 594 + 0 + 0 + 0 = 666.

It is a Cunningham number, because it is equal to 2265751²-1.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1286944006 + ... + 1286947994.

It is an arithmetic number, because the mean of its divisors is an integer number (20318308920).

Almost surely, 2^{5133627594000} is an apocalyptic number.

5133627594000 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 5133627594000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9752788281600).

5133627594000 is an abundant number, since it is smaller than the sum of its proper divisors (14371948969200).

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

5133627594000 is a wasteful number, since it uses less digits than its factorization.

5133627594000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 5133627594000 in words is "five trillion, one hundred thirty-three billion, six hundred twenty-seven million, five hundred ninety-four thousand".