13537954080 has 576 divisors, whose sum is σ = 56326233600. Its totient is φ = 2890432512.

The previous prime is 13537954061. The next prime is 13537954093. The reversal of 13537954080 is 8045973531.

13537954080 is a `hidden beast` number, since 1 + 35 + 3 + 79 + 540 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 34100442 + ... + 34100838.

It is an arithmetic number, because the mean of its divisors is an integer number (97788600).

Almost surely, 2^13537954080 is an apocalyptic number.

13537954080 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 13537954080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28163116800).

13537954080 is an abundant number, since it is smaller than the sum of its proper divisors (42788279520).

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

13537954080 is a wasteful number, since it uses less digits than its factorization.

13537954080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 13537954080 in words is "thirteen billion, five hundred thirty-seven million, nine hundred fifty-four thousand, eighty".