10782925920 has 576 divisors, whose sum is σ = 43351386624. Its totient is φ = 2415329280.

The previous prime is 10782925883. The next prime is 10782926009. The reversal of 10782925920 is 2952928701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 9864894 + ... + 9865986.

It is an arithmetic number, because the mean of its divisors is an integer number (75262824).

Almost surely, 2^10782925920 is an apocalyptic number.

10782925920 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 10782925920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21675693312).

10782925920 is an abundant number, since it is smaller than the sum of its proper divisors (32568460704).

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

10782925920 is a wasteful number, since it uses less digits than its factorization.

10782925920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 10782925920 in words is "ten billion, seven hundred eighty-two million, nine hundred twenty-five thousand, nine hundred twenty".