13057953720 has 128 divisors (see below), whose sum is σ = 44949219840. Its totient is φ = 2972736000.

The previous prime is 13057953653. The next prime is 13057953761. The reversal of 13057953720 is 2735975031.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 179874 + ... + 241806.

It is an arithmetic number, because the mean of its divisors is an integer number (351165780).

Almost surely, 2^13057953720 is an apocalyptic number.

13057953720 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 13057953720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22474609920).

13057953720 is an abundant number, since it is smaller than the sum of its proper divisors (31891266120).

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

13057953720 is a wasteful number, since it uses less digits than its factorization.

13057953720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62205 (or 62201 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 42.

The spelling of 13057953720 in words is "thirteen billion, fifty-seven million, nine hundred fifty-three thousand, seven hundred twenty".