13621978560 has 224 divisors, whose sum is σ = 45652700160. Its totient is φ = 3431780352.

The previous prime is 13621978549. The next prime is 13621978561. The reversal of 13621978560 is 6587912631.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13621978561) 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 31 ways as a sum of consecutive naturals, for example, 8444314 + ... + 8445926.

Almost surely, 2^13621978560 is an apocalyptic number.

13621978560 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 13621978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22826350080).

13621978560 is an abundant number, since it is smaller than the sum of its proper divisors (32030721600).

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

13621978560 is a wasteful number, since it uses less digits than its factorization.

13621978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 13621978560 in words is "thirteen billion, six hundred twenty-one million, nine hundred seventy-eight thousand, five hundred sixty".