13976172000 has 1152 divisors, whose sum is σ = 62741952000. Its totient is φ = 3004646400.

The previous prime is 13976171999. The next prime is 13976172011. The reversal of 13976172000 is 27167931.

It is a happy number.

13976172000 is a `hidden beast` number, since 1 + 39 + 7 + 617 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100547931 + ... + 100548069.

It is an arithmetic number, because the mean of its divisors is an integer number (54463500).

Almost surely, 2^13976172000 is an apocalyptic number.

13976172000 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 13976172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31370976000).

13976172000 is an abundant number, since it is smaller than the sum of its proper divisors (48765780000).

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

13976172000 is a wasteful number, since it uses less digits than its factorization.

13976172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 13976172000 in words is "thirteen billion, nine hundred seventy-six million, one hundred seventy-two thousand".