10747877920 has 384 divisors, whose sum is σ = 30238064640. Its totient is φ = 3576545280.

The previous prime is 10747877893. The next prime is 10747877927. The reversal of 10747877920 is 2977874701.

It is a happy number.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (10747877927) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 84628897 + ... + 84629023.

It is an arithmetic number, because the mean of its divisors is an integer number (78744960).

Almost surely, 2^10747877920 is an apocalyptic number.

10747877920 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 10747877920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15119032320).

10747877920 is an abundant number, since it is smaller than the sum of its proper divisors (19490186720).

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

10747877920 is a wasteful number, since it uses less digits than its factorization.

10747877920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 52.

The spelling of 10747877920 in words is "ten billion, seven hundred forty-seven million, eight hundred seventy-seven thousand, nine hundred twenty".