10782097920 has 800 divisors, whose sum is σ = 43848889920. Its totient is φ = 2508226560.

The previous prime is 10782097919. The next prime is 10782097939. The reversal of 10782097920 is 2979028701.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66147759 + ... + 66147921.

Almost surely, 2^10782097920 is an apocalyptic number.

10782097920 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 10782097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21924444960).

10782097920 is an abundant number, since it is smaller than the sum of its proper divisors (33066792000).

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

10782097920 is a wasteful number, since it uses less digits than its factorization.

10782097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 10782097920 in words is "ten billion, seven hundred eighty-two million, ninety-seven thousand, nine hundred twenty".