1375385635008 has 1120 divisors, whose sum is σ = 5461308864000. Its totient is φ = 338349312000.

The previous prime is 1375385635007. The next prime is 1375385635009. The reversal of 1375385635008 is 8005365835731.

1375385635008 is a `hidden beast` number, since 1 + 3 + 7 + 53 + 85 + 6 + 3 + 500 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1375385635007) and next prime (1375385635009).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1375385635007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 371623558 + ... + 371627258.

Almost surely, 2^{1375385635008} is an apocalyptic number.

1375385635008 is a gapful number since it is divisible by the number (18) 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 1375385635008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730654432000).

1375385635008 is an abundant number, since it is smaller than the sum of its proper divisors (4085923228992).

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

1375385635008 is a wasteful number, since it uses less digits than its factorization.

1375385635008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 1375385635008 in words is "one trillion, three hundred seventy-five billion, three hundred eighty-five million, six hundred thirty-five thousand, eight".