13486981334400 has 2304 divisors, whose sum is σ = 63027375989760. Its totient is φ = 2774815211520.

The previous prime is 13486981334371. The next prime is 13486981334419. The reversal of 13486981334400 is 443318968431.

13486981334400 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 69 + 8 + 133 + 440 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2128288032 + ... + 2128294368.

It is an arithmetic number, because the mean of its divisors is an integer number (27355631940).

Almost surely, 2^{13486981334400} is an apocalyptic number.

13486981334400 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 13486981334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31513687994880).

13486981334400 is an abundant number, since it is smaller than the sum of its proper divisors (49540394655360).

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

13486981334400 is a wasteful number, since it uses less digits than its factorization.

13486981334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6423 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 13486981334400 in words is "thirteen trillion, four hundred eighty-six billion, nine hundred eighty-one million, three hundred thirty-four thousand, four hundred".