13353525542340 has 144 divisors (see below), whose sum is σ = 41083998149376. Its totient is φ = 3510119289600.

The previous prime is 13353525542321. The next prime is 13353525542473. The reversal of 13353525542340 is 4324552535331.

13353525542340 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 3 + 52 + 554 + 2 + 3 + 40 = 666.

It is a super-2 number, since 2×13353525542340² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 69081625 + ... + 69274655.

It is an arithmetic number, because the mean of its divisors is an integer number (285305542704).

Almost surely, 2^{13353525542340} is an apocalyptic number.

13353525542340 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 13353525542340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20541999074688).

13353525542340 is an abundant number, since it is smaller than the sum of its proper divisors (27730472607036).

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

13353525542340 is a wasteful number, since it uses less digits than its factorization.

13353525542340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198530 (or 198525 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 45.

The spelling of 13353525542340 in words is "thirteen trillion, three hundred fifty-three billion, five hundred twenty-five million, five hundred forty-two thousand, three hundred forty".