1375591828400 has 120 divisors (see below), whose sum is σ = 3384671983200. Its totient is φ = 537056133120.

The previous prime is 1375591828397. The next prime is 1375591828417. The reversal of 1375591828400 is 48281955731.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3923501 + ... + 4259699.

It is an arithmetic number, because the mean of its divisors is an integer number (28205599860).

Almost surely, 2^{1375591828400} is an apocalyptic number.

1375591828400 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 1375591828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692335991600).

1375591828400 is an abundant number, since it is smaller than the sum of its proper divisors (2009080154800).

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

1375591828400 is a wasteful number, since it uses less digits than its factorization.

1375591828400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336463 (or 336452 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 53.

The spelling of 1375591828400 in words is "one trillion, three hundred seventy-five billion, five hundred ninety-one million, eight hundred twenty-eight thousand, four hundred".