13972139520 has 320 divisors, whose sum is σ = 47799797760. Its totient is φ = 3469344768.

The previous prime is 13972139507. The next prime is 13972139527. The reversal of 13972139520 is 2593127931.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-4 number, since 4×13972139520⁴ (a number of 42 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13972139527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13447161 + ... + 13448199.

It is an arithmetic number, because the mean of its divisors is an integer number (149374368).

Almost surely, 2^13972139520 is an apocalyptic number.

13972139520 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 13972139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23899898880).

13972139520 is an abundant number, since it is smaller than the sum of its proper divisors (33827658240).

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

13972139520 is a wasteful number, since it uses less digits than its factorization.

13972139520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The spelling of 13972139520 in words is "thirteen billion, nine hundred seventy-two million, one hundred thirty-nine thousand, five hundred twenty".