10882315600 has 90 divisors (see below), whose sum is σ = 28310777466. Its totient is φ = 4018060800.

The previous prime is 10882315579. The next prime is 10882315603. The reversal of 10882315600 is 651328801.

It can be written as a sum of positive squares in 9 ways, for example, as 5151219984 + 5731095616 = 71772^2 + 75704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10882315603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12891 + ... + 148090.

Almost surely, 2^10882315600 is an apocalyptic number.

10882315600 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 10882315600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14155388733).

10882315600 is an abundant number, since it is smaller than the sum of its proper divisors (17428461866).

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

10882315600 is a wasteful number, since it uses less digits than its factorization.

10882315600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161025 (or 161001 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 10882315600 in words is "ten billion, eight hundred eighty-two million, three hundred fifteen thousand, six hundred".