1875826874880 has 1680 divisors, whose sum is σ = 7979997030984. Its totient is φ = 421382062080.

The previous prime is 1875826874869. The next prime is 1875826874951. The reversal of 1875826874880 is 884786285781.

1875826874880 is a `hidden beast` number, since 1 + 8 + 7 + 5 + 82 + 68 + 7 + 488 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1667321397504 + 208505477376 = 1291248^2 + 456624^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1875826874799 and 1875826874808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6675540340 + ... + 6675540620.

Almost surely, 2^{1875826874880} is an apocalyptic number.

1875826874880 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 1875826874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989998515492).

1875826874880 is an abundant number, since it is smaller than the sum of its proper divisors (6104170156104).

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

1875826874880 is an frugal number, since it uses more digits than its factorization.

1875826874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 385351680, while the sum is 72.

The spelling of 1875826874880 in words is "one trillion, eight hundred seventy-five billion, eight hundred twenty-six million, eight hundred seventy-four thousand, eight hundred eighty".