13552302287040 has 672 divisors, whose sum is σ = 47877666520320. Its totient is φ = 3245176872960.

The previous prime is 13552302287033. The next prime is 13552302287087. The reversal of 13552302287040 is 4078220325531.

It is a super-2 number, since 2×13552302287040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13552302286983 and 13552302287001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4834926279 + ... + 4834929081.

It is an arithmetic number, because the mean of its divisors is an integer number (71246527560).

Almost surely, 2^{13552302287040} is an apocalyptic number.

13552302287040 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 13552302287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23938833260160).

13552302287040 is an abundant number, since it is smaller than the sum of its proper divisors (34325364233280).

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

13552302287040 is a wasteful number, since it uses less digits than its factorization.

13552302287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 13552302287040 in words is "thirteen trillion, five hundred fifty-two billion, three hundred two million, two hundred eighty-seven thousand, forty".