13075503840 has 192 divisors, whose sum is σ = 52302136320. Its totient is φ = 2988679680.

The previous prime is 13075503787. The next prime is 13075503869. The reversal of 13075503840 is 4830557031.

13075503840 is a `hidden beast` number, since 1 + 3 + 0 + 75 + 503 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13075503795 and 13075503804.

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, 185956 + ... + 246435.

It is an arithmetic number, because the mean of its divisors is an integer number (272406960).

Almost surely, 2^13075503840 is an apocalyptic number.

13075503840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13075503840 is an abundant number, since it is smaller than the sum of its proper divisors (39226632480).

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

13075503840 is a wasteful number, since it uses less digits than its factorization.

13075503840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432422 (or 432408 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

It can be divided in two parts, 1307550 and 3840, that added together give a triangular number (1311390 = T₁₆₁₉).

The spelling of 13075503840 in words is "thirteen billion, seventy-five million, five hundred three thousand, eight hundred forty".