13375367771840 has 448 divisors, whose sum is σ = 35018025090048. Its totient is φ = 4845925171200.

The previous prime is 13375367771813. The next prime is 13375367771929. The reversal of 13375367771840 is 4817776357331.

It is a super-2 number, since 2×13375367771840² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6276567575 + ... + 6276569705.

It is an arithmetic number, because the mean of its divisors is an integer number (78165234576).

Almost surely, 2^{13375367771840} is an apocalyptic number.

13375367771840 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 13375367771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17509012545024).

13375367771840 is an abundant number, since it is smaller than the sum of its proper divisors (21642657318208).

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

13375367771840 is a wasteful number, since it uses less digits than its factorization.

13375367771840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 62.

The spelling of 13375367771840 in words is "thirteen trillion, three hundred seventy-five billion, three hundred sixty-seven million, seven hundred seventy-one thousand, eight hundred forty".