13973083822080 has 768 divisors, whose sum is σ = 52931249280000. Its totient is φ = 3529934733312.

The previous prime is 13973083822057. The next prime is 13973083822081. The reversal of 13973083822080 is 8022838037931.

13973083822080 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 308 + 38 + 220 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13973083822081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425486301 + ... + 425519139.

It is an arithmetic number, because the mean of its divisors is an integer number (68920897500).

Almost surely, 2^{13973083822080} is an apocalyptic number.

13973083822080 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 13973083822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26465624640000).

13973083822080 is an abundant number, since it is smaller than the sum of its proper divisors (38958165457920).

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

13973083822080 is an frugal number, since it uses more digits than its factorization.

13973083822080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32906 (or 32868 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13973083822080 in words is "thirteen trillion, nine hundred seventy-three billion, eighty-three million, eight hundred twenty-two thousand, eighty".