13875363671400 has 1536 divisors, whose sum is σ = 60575122944000. Its totient is φ = 2835689472000.

The previous prime is 13875363671341. The next prime is 13875363671417. The reversal of 13875363671400 is 417636357831.

13875363671400 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 536 + 3 + 67 + 1 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7808307312 + ... + 7808309088.

It is an arithmetic number, because the mean of its divisors is an integer number (39436929000).

Almost surely, 2^{13875363671400} is an apocalyptic number.

13875363671400 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 13875363671400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30287561472000).

13875363671400 is an abundant number, since it is smaller than the sum of its proper divisors (46699759272600).

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

13875363671400 is a wasteful number, since it uses less digits than its factorization.

13875363671400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 13875363671400 in words is "thirteen trillion, eight hundred seventy-five billion, three hundred sixty-three million, six hundred seventy-one thousand, four hundred".