5187857846400 has 768 divisors, whose sum is σ = 20034887328000. Its totient is φ = 1308366766080.

The previous prime is 5187857846389. The next prime is 5187857846411. The reversal of 5187857846400 is 46487587815.

It is a happy number.

5187857846400 is a `hidden beast` number, since 5 + 1 + 87 + 85 + 78 + 4 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (5187857846389) and next prime (5187857846411).

It is a super-3 number, since 3×5187857846400³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176846134 + ... + 176875466.

It is an arithmetic number, because the mean of its divisors is an integer number (26087092875).

Almost surely, 2^{5187857846400} is an apocalyptic number.

5187857846400 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 5187857846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10017443664000).

5187857846400 is an abundant number, since it is smaller than the sum of its proper divisors (14847029481600).

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

5187857846400 is a wasteful number, since it uses less digits than its factorization.

5187857846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29478 (or 29455 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 5187857846400 in words is "five trillion, one hundred eighty-seven billion, eight hundred fifty-seven million, eight hundred forty-six thousand, four hundred".