13955049828720 has 2880 divisors, whose sum is σ = 66882250512000. Its totient is φ = 2648687247360.

The previous prime is 13955049828719. The next prime is 13955049828737. The reversal of 13955049828720 is 2782894055931.

13955049828720 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 50 + 498 + 28 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 18147008496 + ... + 18147009264.

It is an arithmetic number, because the mean of its divisors is an integer number (23223003650).

Almost surely, 2^{13955049828720} is an apocalyptic number.

13955049828720 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 13955049828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33441125256000).

13955049828720 is an abundant number, since it is smaller than the sum of its proper divisors (52927200683280).

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

13955049828720 is a wasteful number, since it uses less digits than its factorization.

13955049828720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 13955049828720 in words is "thirteen trillion, nine hundred fifty-five billion, forty-nine million, eight hundred twenty-eight thousand, seven hundred twenty".