1352907842352 has 320 divisors, whose sum is σ = 4091111152128. Its totient is φ = 380712960000.

The previous prime is 1352907842317. The next prime is 1352907842359. The reversal of 1352907842352 is 2532487092531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 1352907842295 and 1352907842304.

It is not an unprimeable number, because it can be changed into a prime (1352907842359) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278316402 + ... + 278321262.

Almost surely, 2^{1352907842352} is an apocalyptic number.

1352907842352 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 1352907842352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045555576064).

1352907842352 is an abundant number, since it is smaller than the sum of its proper divisors (2738203309776).

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

1352907842352 is a wasteful number, since it uses less digits than its factorization.

1352907842352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5308 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 1352907842352 in words is "one trillion, three hundred fifty-two billion, nine hundred seven million, eight hundred forty-two thousand, three hundred fifty-two".