13797671077120 has 288 divisors, whose sum is σ = 39113045395200. Its totient is φ = 4562891440128.

The previous prime is 13797671077067. The next prime is 13797671077139. The reversal of 13797671077120 is 2177017679731.

It is a super-3 number, since 3×13797671077120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262152247 + ... + 262204873.

It is an arithmetic number, because the mean of its divisors is an integer number (135809185400).

Almost surely, 2^{13797671077120} is an apocalyptic number.

13797671077120 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 13797671077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19556522697600).

13797671077120 is an abundant number, since it is smaller than the sum of its proper divisors (25315374318080).

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

13797671077120 is a wasteful number, since it uses less digits than its factorization.

13797671077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53693 (or 53679 counting only the distinct ones).

The product of its (nonzero) digits is 5445468, while the sum is 58.

The spelling of 13797671077120 in words is "thirteen trillion, seven hundred ninety-seven billion, six hundred seventy-one million, seventy-seven thousand, one hundred twenty".