13650505751520 has 1728 divisors, whose sum is σ = 56366114837760. Its totient is φ = 2992035594240.

The previous prime is 13650505751513. The next prime is 13650505751543. The reversal of 13650505751520 is 2515750505631.

13650505751520 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 0 + 50 + 5 + 75 + 1 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31525417224 + ... + 31525417656.

It is an arithmetic number, because the mean of its divisors is an integer number (32619279420).

Almost surely, 2^{13650505751520} is an apocalyptic number.

13650505751520 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 13650505751520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28183057418880).

13650505751520 is an abundant number, since it is smaller than the sum of its proper divisors (42715609086240).

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

13650505751520 is a wasteful number, since it uses less digits than its factorization.

13650505751520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 787500, while the sum is 45.

It can be divided in two parts, 13650505 and 751520, that added together give a square (14402025 = 3795²).

The spelling of 13650505751520 in words is "thirteen trillion, six hundred fifty billion, five hundred five million, seven hundred fifty-one thousand, five hundred twenty".