1375875072000 has 2560 divisors, whose sum is σ = 6234674846400. Its totient is φ = 297271296000.

The previous prime is 1375875071999. The next prime is 1375875072001. The reversal of 1375875072000 is 2705785731.

1375875072000 is a `hidden beast` number, since 1 + 375 + 8 + 75 + 0 + 7 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1375875071999) and next prime (1375875072001).

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375875072001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47443967986 + ... + 47443968014.

Almost surely, 2^{1375875072000} is an apocalyptic number.

1375875072000 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 1375875072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117337423200).

1375875072000 is an abundant number, since it is smaller than the sum of its proper divisors (4858799774400).

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

1375875072000 is an equidigital number, since it uses as much as digits as its factorization.

1375875072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 1375875072000 in words is "one trillion, three hundred seventy-five billion, eight hundred seventy-five million, seventy-two thousand".