13862472960 has 288 divisors, whose sum is σ = 53263042560. Its totient is φ = 3001688064.

The previous prime is 13862472937. The next prime is 13862473003. The reversal of 13862472960 is 6927426831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497149 + ... + 524291.

It is an arithmetic number, because the mean of its divisors is an integer number (184941120).

Almost surely, 2^13862472960 is an apocalyptic number.

13862472960 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 13862472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26631521280).

13862472960 is an abundant number, since it is smaller than the sum of its proper divisors (39400569600).

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

13862472960 is a wasteful number, since it uses less digits than its factorization.

13862472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27193 (or 27179 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 13862472960 in words is "thirteen billion, eight hundred sixty-two million, four hundred seventy-two thousand, nine hundred sixty".