1281852523800 has 480 divisors, whose sum is σ = 4534624110720. Its totient is φ = 335512627200.

The previous prime is 1281852523781. The next prime is 1281852523837. The reversal of 1281852523800 is 83252581821.

1281852523800 is a `hidden beast` number, since 1 + 2 + 8 + 18 + 5 + 252 + 380 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 599836332 + ... + 599838468.

It is an arithmetic number, because the mean of its divisors is an integer number (9447133564).

Almost surely, 2^{1281852523800} is an apocalyptic number.

1281852523800 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 1281852523800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267312055360).

1281852523800 is an abundant number, since it is smaller than the sum of its proper divisors (3252771586920).

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

1281852523800 is a wasteful number, since it uses less digits than its factorization.

1281852523800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 1281852523800 in words is "one trillion, two hundred eighty-one billion, eight hundred fifty-two million, five hundred twenty-three thousand, eight hundred".