5206885871400 has 288 divisors, whose sum is σ = 18522924334200. Its totient is φ = 1306272153600.

The previous prime is 5206885871393. The next prime is 5206885871419. The reversal of 5206885871400 is 41785886025.

5206885871400 is a `hidden beast` number, since 5 + 20 + 68 + 85 + 87 + 1 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 172884650436 + 5034001220964 = 415794^2 + 2243658^2 .

It is a super-2 number, since 2×5206885871400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74659746 + ... + 74729454.

Almost surely, 2^{5206885871400} is an apocalyptic number.

5206885871400 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 5206885871400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9261462167100).

5206885871400 is an abundant number, since it is smaller than the sum of its proper divisors (13316038462800).

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

5206885871400 is a wasteful number, since it uses less digits than its factorization.

5206885871400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72189 (or 72177 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 5206885871400 in words is "five trillion, two hundred six billion, eight hundred eighty-five million, eight hundred seventy-one thousand, four hundred".