5717156387400 has 432 divisors, whose sum is σ = 20001858126900. Its totient is φ = 1462391884800.

The previous prime is 5717156387353. The next prime is 5717156387407. The reversal of 5717156387400 is 47836517175.

5717156387400 is a `hidden beast` number, since 5 + 7 + 1 + 7 + 1 + 563 + 8 + 74 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4210876369764 + 1506280017636 = 2052042^2 + 1227306^2 .

It is not an unprimeable number, because it can be changed into a prime (5717156387407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 335722086 + ... + 335739114.

Almost surely, 2^{5717156387400} is an apocalyptic number.

5717156387400 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 5717156387400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10000929063450).

5717156387400 is an abundant number, since it is smaller than the sum of its proper divisors (14284701739500).

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

5717156387400 is a wasteful number, since it uses less digits than its factorization.

5717156387400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17230 (or 17147 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 5717156387400 in words is "five trillion, seven hundred seventeen billion, one hundred fifty-six million, three hundred eighty-seven thousand, four hundred".