13518247223040 has 576 divisors, whose sum is σ = 52655646081024. Its totient is φ = 2885216108544.

The previous prime is 13518247222999. The next prime is 13518247223083. The reversal of 13518247223040 is 4032274281531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13518247222983 and 13518247223001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57917452 + ... + 58150388.

It is an arithmetic number, because the mean of its divisors is an integer number (91416052224).

Almost surely, 2^{13518247223040} is an apocalyptic number.

13518247223040 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 13518247223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26327823040512).

13518247223040 is an abundant number, since it is smaller than the sum of its proper divisors (39137398857984).

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

13518247223040 is a wasteful number, since it uses less digits than its factorization.

13518247223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233112 (or 233098 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 13518247223040 in words is "thirteen trillion, five hundred eighteen billion, two hundred forty-seven million, two hundred twenty-three thousand, forty".