13484610854820 has 432 divisors, whose sum is σ = 51097047980160. Its totient is φ = 2919972105216.

The previous prime is 13484610854783. The next prime is 13484610854857. The reversal of 13484610854820 is 2845801648431.

13484610854820 is a `hidden beast` number, since 1 + 3 + 4 + 84 + 6 + 1 + 0 + 85 + 482 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13484610854783) and next prime (13484610854857).

It is a super-2 number, since 2×13484610854820² (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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17065932 + ... + 17838588.

Almost surely, 2^{13484610854820} is an apocalyptic number.

13484610854820 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 13484610854820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25548523990080).

13484610854820 is an abundant number, since it is smaller than the sum of its proper divisors (37612437125340).

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

13484610854820 is an equidigital number, since it uses as much as digits as its factorization.

13484610854820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772716 (or 772693 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 13484610854820 in words is "thirteen trillion, four hundred eighty-four billion, six hundred ten million, eight hundred fifty-four thousand, eight hundred twenty".