13972181760 has 432 divisors, whose sum is σ = 50115854880. Its totient is φ = 3592028160.

The previous prime is 13972181747. The next prime is 13972181789. The reversal of 13972181760 is 6718127931.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41460312 + ... + 41460648.

Almost surely, 2^13972181760 is an apocalyptic number.

13972181760 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 13972181760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25057927440).

13972181760 is an abundant number, since it is smaller than the sum of its proper divisors (36143673120).

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

13972181760 is a wasteful number, since it uses less digits than its factorization.

13972181760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 13972181760 in words is "thirteen billion, nine hundred seventy-two million, one hundred eighty-one thousand, seven hundred sixty".