10882252800 has 540 divisors, whose sum is σ = 41298532506. Its totient is φ = 2831155200.

The previous prime is 10882252763. The next prime is 10882252819. The reversal of 10882252800 is 825228801.

It is a happy number.

10882252800 is a `hidden beast` number, since 108 + 8 + 22 + 528 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5101387776 + 5780865024 = 71424^2 + 76032^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 265420780 + ... + 265420820.

Almost surely, 2^10882252800 is an apocalyptic number.

10882252800 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 10882252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20649266253).

10882252800 is an abundant number, since it is smaller than the sum of its proper divisors (30416279706).

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

10882252800 is an frugal number, since it uses more digits than its factorization.

10882252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 10882252800 in words is "ten billion, eight hundred eighty-two million, two hundred fifty-two thousand, eight hundred".