1375088140800 has 1800 divisors, whose sum is σ = 5701711856148. Its totient is φ = 326998425600.

The previous prime is 1375088140739. The next prime is 1375088140901. The reversal of 1375088140800 is 80418805731.

It is a happy number.

1375088140800 is a `hidden beast` number, since 137 + 508 + 8 + 1 + 4 + 0 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 113833361664 + 1261254779136 = 337392^2 + 1123056^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 12168921544 + ... + 12168921656.

Almost surely, 2^{1375088140800} is an apocalyptic number.

1375088140800 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 1375088140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850855928074).

1375088140800 is an abundant number, since it is smaller than the sum of its proper divisors (4326623715348).

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

1375088140800 is a wasteful number, since it uses less digits than its factorization.

1375088140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 1375088140800 in words is "one trillion, three hundred seventy-five billion, eighty-eight million, one hundred forty thousand, eight hundred".