1881689745600 has 1008 divisors, whose sum is σ = 8343895123200. Its totient is φ = 407452446720.

The previous prime is 1881689745521. The next prime is 1881689745601. The reversal of 1881689745600 is 65479861881.

1881689745600 is a `hidden beast` number, since 1 + 8 + 8 + 1 + 68 + 9 + 7 + 4 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (1881689745601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51692206 + ... + 51728594.

Almost surely, 2^{1881689745600} is an apocalyptic number.

1881689745600 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 1881689745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171947561600).

1881689745600 is an abundant number, since it is smaller than the sum of its proper divisors (6462205377600).

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

1881689745600 is a wasteful number, since it uses less digits than its factorization.

1881689745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36452 (or 36425 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 1881689745600 in words is "one trillion, eight hundred eighty-one billion, six hundred eighty-nine million, seven hundred forty-five thousand, six hundred".