1875456225360 has 200 divisors, whose sum is σ = 6528254653800. Its totient is φ = 499007029248.

The previous prime is 1875456225329. The next prime is 1875456225373. The reversal of 1875456225360 is 635226545781.

1875456225360 is a `hidden beast` number, since 1 + 8 + 7 + 5 + 4 + 5 + 622 + 5 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 287505936 + 1875168719424 = 16956^2 + 1369368^2 .

It is a super-3 number, since 3×1875456225360³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1875456225297 and 1875456225306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2587224 + ... + 3231816.

It is an arithmetic number, because the mean of its divisors is an integer number (32641273269).

Almost surely, 2^{1875456225360} is an apocalyptic number.

1875456225360 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 1875456225360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264127326900).

1875456225360 is an abundant number, since it is smaller than the sum of its proper divisors (4652798428440).

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

1875456225360 is a wasteful number, since it uses less digits than its factorization.

1875456225360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645067 (or 645052 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 1875456225360 in words is "one trillion, eight hundred seventy-five billion, four hundred fifty-six million, two hundred twenty-five thousand, three hundred sixty".