5171801400 has 240 divisors, whose sum is σ = 18106977240. Its totient is φ = 1368057600.

The previous prime is 5171801363. The next prime is 5171801419. The reversal of 5171801400 is 41081715.

5171801400 is a `hidden beast` number, since 517 + 1 + 8 + 0 + 140 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2120982 + ... + 2123418.

Almost surely, 2^5171801400 is an apocalyptic number.

5171801400 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 5171801400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9053488620).

5171801400 is an abundant number, since it is smaller than the sum of its proper divisors (12935175840).

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

5171801400 is a wasteful number, since it uses less digits than its factorization.

5171801400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 5171801400 is about 71915.2376065045. The cubic root of 5171801400 is about 1729.3409007639.

The spelling of 5171801400 in words is "five billion, one hundred seventy-one million, eight hundred one thousand, four hundred".