13575754752 has 352 divisors, whose sum is σ = 44018688000. Its totient is φ = 3633610752.

The previous prime is 13575754741. The next prime is 13575754769. The reversal of 13575754752 is 25745757531.

It is a super-2 number, since 2×13575754752² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13575754695 and 13575754704.

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, 60877713 + ... + 60877935.

Almost surely, 2^13575754752 is an apocalyptic number.

13575754752 is a gapful number since it is divisible by the number (12) 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 13575754752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22009344000).

13575754752 is an abundant number, since it is smaller than the sum of its proper divisors (30442933248).

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

13575754752 is a wasteful number, since it uses less digits than its factorization.

13575754752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 403 counting only the distinct ones).

The product of its digits is 5145000, while the sum is 51.

The spelling of 13575754752 in words is "thirteen billion, five hundred seventy-five million, seven hundred fifty-four thousand, seven hundred fifty-two".