13827847205700 has 288 divisors, whose sum is σ = 48525032949120. Its totient is φ = 3350145830400.

The previous prime is 13827847205677. The next prime is 13827847205717. The reversal of 13827847205700 is 750274872831.

13827847205700 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 7 + 8 + 47 + 20 + 570 + 0 = 666.

It is a super-2 number, since 2×13827847205700² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48476694 + ... + 48761106.

It is an arithmetic number, because the mean of its divisors is an integer number (168489697740).

Almost surely, 2^{13827847205700} is an apocalyptic number.

13827847205700 is a gapful number since it is divisible by the number (10) 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 13827847205700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24262516474560).

13827847205700 is an abundant number, since it is smaller than the sum of its proper divisors (34697185743420).

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

13827847205700 is a wasteful number, since it uses less digits than its factorization.

13827847205700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286084 (or 286071 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 13827847205700 in words is "thirteen trillion, eight hundred twenty-seven billion, eight hundred forty-seven million, two hundred five thousand, seven hundred".