1875489638400 has 576 divisors, whose sum is σ = 7873189833600. Its totient is φ = 428681134080.

The previous prime is 1875489638389. The next prime is 1875489638401. The reversal of 1875489638400 is 48369845781.

1875489638400 is a `hidden beast` number, since 1 + 8 + 7 + 548 + 9 + 6 + 3 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1875489638400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1875489638401) 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 47 ways as a sum of consecutive naturals, for example, 9579894 + ... + 9773706.

It is an arithmetic number, because the mean of its divisors is an integer number (13668732350).

Almost surely, 2^{1875489638400} is an apocalyptic number.

1875489638400 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 1875489638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936594916800).

1875489638400 is an abundant number, since it is smaller than the sum of its proper divisors (5997700195200).

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

1875489638400 is a wasteful number, since it uses less digits than its factorization.

1875489638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193861 (or 193830 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 1875489638400 in words is "one trillion, eight hundred seventy-five billion, four hundred eighty-nine million, six hundred thirty-eight thousand, four hundred".