13967551872 has 160 divisors (see below), whose sum is σ = 43375218480. Its totient is φ = 4453346304.

The previous prime is 13967551861. The next prime is 13967551931. The reversal of 13967551872 is 27815576931.

13967551872 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 7 + 551 + 87 + 2 = 666.

It is a super-3 number, since 3×13967551872³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 209178 + ... + 267750.

Almost surely, 2^13967551872 is an apocalyptic number.

13967551872 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 13967551872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21687609240).

13967551872 is an abundant number, since it is smaller than the sum of its proper divisors (29407666608).

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

13967551872 is an equidigital number, since it uses as much as digits as its factorization.

13967551872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58622 (or 58601 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The spelling of 13967551872 in words is "thirteen billion, nine hundred sixty-seven million, five hundred fifty-one thousand, eight hundred seventy-two".