13375675632000 has 2048 divisors, whose sum is σ = 52788530995200. Its totient is φ = 2961100800000.

The previous prime is 13375675631999. The next prime is 13375675632001. The reversal of 13375675632000 is 23657657331.

It is an interprime number because it is at equal distance from previous prime (13375675631999) and next prime (13375675632001).

It is a super-2 number, since 2×13375675632000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13375675632001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 43568975847 + ... + 43568976153.

It is an arithmetic number, because the mean of its divisors is an integer number (25775649900).

Almost surely, 2^{13375675632000} is an apocalyptic number.

13375675632000 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 13375675632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26394265497600).

13375675632000 is an abundant number, since it is smaller than the sum of its proper divisors (39412855363200).

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

13375675632000 is a wasteful number, since it uses less digits than its factorization.

13375675632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 48.

The spelling of 13375675632000 in words is "thirteen trillion, three hundred seventy-five billion, six hundred seventy-five million, six hundred thirty-two thousand".