13890252672 has 96 divisors (see below), whose sum is σ = 40004173560. Its totient is φ = 4626201600.

The previous prime is 13890252671. The next prime is 13890252703. The reversal of 13890252672 is 27625209831.

13890252672 is a `hidden beast` number, since 1 + 38 + 90 + 2 + 526 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13890252671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1586547 + ... + 1595277.

Almost surely, 2^13890252672 is an apocalyptic number.

13890252672 is a gapful number since it is divisible by the number (12) 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 13890252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20002086780).

13890252672 is an abundant number, since it is smaller than the sum of its proper divisors (26113920888).

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

13890252672 is a wasteful number, since it uses less digits than its factorization.

13890252672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10132 (or 10117 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13890252672 in words is "thirteen billion, eight hundred ninety million, two hundred fifty-two thousand, six hundred seventy-two".