13084917120000 has 3520 divisors, whose sum is σ = 57240361221120. Its totient is φ = 2919628800000.

The previous prime is 13084917119957. The next prime is 13084917120043. The reversal of 13084917120000 is 2171948031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13084917119957) and next prime (13084917120043).

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 179245439964 + ... + 179245440036.

It is an arithmetic number, because the mean of its divisors is an integer number (16261466256).

Almost surely, 2^{13084917120000} is an apocalyptic number.

13084917120000 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 13084917120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28620180610560).

13084917120000 is an abundant number, since it is smaller than the sum of its proper divisors (44155444101120).

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

13084917120000 is a wasteful number, since it uses less digits than its factorization.

13084917120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 13084917120000 in words is "thirteen trillion, eighty-four billion, nine hundred seventeen million, one hundred twenty thousand".