5145067027100 has 1296 divisors, whose sum is σ = 16175555198208. Its totient is φ = 1405071360000.

The previous prime is 5145067027073. The next prime is 5145067027141. The reversal of 5145067027100 is 17207605415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 14575260524 + ... + 14575260876.

Almost surely, 2^{5145067027100} is an apocalyptic number.

5145067027100 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 5145067027100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8087777599104).

5145067027100 is an abundant number, since it is smaller than the sum of its proper divisors (11030488171108).

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

5145067027100 is a wasteful number, since it uses less digits than its factorization.

5145067027100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The spelling of 5145067027100 in words is "five trillion, one hundred forty-five billion, sixty-seven million, twenty-seven thousand, one hundred".