5047606886400 has 2160 divisors, whose sum is σ = 20871243154944. Its totient is φ = 1201400709120.

The previous prime is 5047606886381. The next prime is 5047606886419. The reversal of 5047606886400 is 46886067405.

5047606886400 is a `hidden beast` number, since 5 + 0 + 47 + 60 + 68 + 86 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (5047606886381) and next prime (5047606886419).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60814540759 + ... + 60814540841.

Almost surely, 2^{5047606886400} is an apocalyptic number.

5047606886400 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 5047606886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10435621577472).

5047606886400 is an abundant number, since it is smaller than the sum of its proper divisors (15823636268544).

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

5047606886400 is an equidigital number, since it uses as much as digits as its factorization.

5047606886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 5047606886400 in words is "five trillion, forty-seven billion, six hundred six million, eight hundred eighty-six thousand, four hundred".