10788023520 has 144 divisors (see below), whose sum is σ = 37079668080. Its totient is φ = 2856056832.

The previous prime is 10788023473. The next prime is 10788023531. The reversal of 10788023520 is 2532088701.

10788023520 is a `hidden beast` number, since 107 + 8 + 8 + 0 + 23 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173212 + ... + 227108.

It is an arithmetic number, because the mean of its divisors is an integer number (257497695).

Almost surely, 2^10788023520 is an apocalyptic number.

10788023520 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 10788023520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18539834040).

10788023520 is an abundant number, since it is smaller than the sum of its proper divisors (26291644560).

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

10788023520 is a wasteful number, since it uses less digits than its factorization.

10788023520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54057 (or 54046 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10788023520 in words is "ten billion, seven hundred eighty-eight million, twenty-three thousand, five hundred twenty".