10883315520 has 1680 divisors, whose sum is σ = 52975581120. Its totient is φ = 2090188800.

The previous prime is 10883315519. The next prime is 10883315533. The reversal of 10883315520 is 2551338801.

10883315520 is a `hidden beast` number, since 10 + 88 + 33 + 15 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 265446700 + ... + 265446740.

It is an arithmetic number, because the mean of its divisors is an integer number (31533084).

Almost surely, 2^10883315520 is an apocalyptic number.

10883315520 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 10883315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26487790560).

10883315520 is an abundant number, since it is smaller than the sum of its proper divisors (42092265600).

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

10883315520 is a wasteful number, since it uses less digits than its factorization.

10883315520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10883315520 in words is "ten billion, eight hundred eighty-three million, three hundred fifteen thousand, five hundred twenty".