10882487851200 has 2016 divisors, whose sum is σ = 47870856069120. Its totient is φ = 2395356364800.

The previous prime is 10882487851129. The next prime is 10882487851267. The reversal of 10882487851200 is 215878428801.

It is a happy number.

10882487851200 is a `hidden beast` number, since 1 + 0 + 8 + 82 + 48 + 7 + 8 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25132766184 + ... + 25132766616.

It is an arithmetic number, because the mean of its divisors is an integer number (23745464320).

Almost surely, 2^{10882487851200} is an apocalyptic number.

10882487851200 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 10882487851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23935428034560).

10882487851200 is an abundant number, since it is smaller than the sum of its proper divisors (36988368217920).

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

10882487851200 is a wasteful number, since it uses less digits than its factorization.

10882487851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 10882487851200 in words is "ten trillion, eight hundred eighty-two billion, four hundred eighty-seven million, eight hundred fifty-one thousand, two hundred".