13199948601840 has 2880 divisors, whose sum is σ = 62937993710592. Its totient is φ = 2435302195200.

The previous prime is 13199948601799. The next prime is 13199948601863. The reversal of 13199948601840 is 4810684999131.

13199948601840 is a `hidden beast` number, since 1 + 3 + 19 + 9 + 9 + 4 + 8 + 601 + 8 + 4 + 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, 15402506692 + ... + 15402507548.

Almost surely, 2^{13199948601840} is an apocalyptic number.

13199948601840 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 13199948601840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31468996855296).

13199948601840 is an abundant number, since it is smaller than the sum of its proper divisors (49738045108752).

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

13199948601840 is a wasteful number, since it uses less digits than its factorization.

13199948601840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 13199948601840 in words is "thirteen trillion, one hundred ninety-nine billion, nine hundred forty-eight million, six hundred one thousand, eight hundred forty".