13798962048960 has 1120 divisors, whose sum is σ = 54399947120640. Its totient is φ = 3292395724800.

The previous prime is 13798962048943. The next prime is 13798962049013. The reversal of 13798962048960 is 6984026989731.

13798962048960 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 89 + 6 + 2 + 0 + 489 + 60 = 666.

It is a super-2 number, since 2×13798962048960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4743539986 + ... + 4743542894.

Almost surely, 2^{13798962048960} is an apocalyptic number.

13798962048960 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 13798962048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27199973560320).

13798962048960 is an abundant number, since it is smaller than the sum of its proper divisors (40600985071680).

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

13798962048960 is a wasteful number, since it uses less digits than its factorization.

13798962048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 13798962048960 in words is "thirteen trillion, seven hundred ninety-eight billion, nine hundred sixty-two million, forty-eight thousand, nine hundred sixty".