13053921120 has 576 divisors, whose sum is σ = 49929384960. Its totient is φ = 3209932800.

The previous prime is 13053921077. The next prime is 13053921131. The reversal of 13053921120 is 2112935031.

13053921120 is a `hidden beast` number, since 1 + 3 + 0 + 539 + 2 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30287305 + ... + 30287735.

It is an arithmetic number, because the mean of its divisors is an integer number (86682960).

Almost surely, 2^13053921120 is an apocalyptic number.

13053921120 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 13053921120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24964692480).

13053921120 is an abundant number, since it is smaller than the sum of its proper divisors (36875463840).

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

13053921120 is a wasteful number, since it uses less digits than its factorization.

13053921120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 13053921120 in words is "thirteen billion, fifty-three million, nine hundred twenty-one thousand, one hundred twenty".