5017781400 has 96 divisors (see below), whose sum is σ = 15571213200. Its totient is φ = 1336691200.

The previous prime is 5017781393. The next prime is 5017781449. The reversal of 5017781400 is 41877105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 661630 + ... + 669170.

Almost surely, 2^5017781400 is an apocalyptic number.

5017781400 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 5017781400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7785606600).

5017781400 is an abundant number, since it is smaller than the sum of its proper divisors (10553431800).

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

5017781400 is a wasteful number, since it uses less digits than its factorization.

5017781400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8669 (or 8660 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 5017781400 is about 70836.3000163052. The cubic root of 5017781400 is about 1712.0005995791. Note that the first 3 decimals are identical.

The spelling of 5017781400 in words is "five billion, seventeen million, seven hundred eighty-one thousand, four hundred".