13507072769000 has 128 divisors (see below), whose sum is σ = 32446300723200. Its totient is φ = 5260473446400.

The previous prime is 13507072768957. The next prime is 13507072769123. The reversal of 13507072769000 is 96727070531.

It is a super-2 number, since 2×13507072769000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

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, 8326481 + ... + 9815519.

It is an arithmetic number, because the mean of its divisors is an integer number (253486724400).

Almost surely, 2^{13507072769000} is an apocalyptic number.

13507072769000 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 13507072769000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16223150361600).

13507072769000 is an abundant number, since it is smaller than the sum of its proper divisors (18939227954200).

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

13507072769000 is a wasteful number, since it uses less digits than its factorization.

13507072769000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489300 (or 1489286 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 47.

The spelling of 13507072769000 in words is "thirteen trillion, five hundred seven billion, seventy-two million, seven hundred sixty-nine thousand".