10761338880 has 408 divisors, whose sum is σ = 38644973640. Its totient is φ = 2768240640.

The previous prime is 10761338857. The next prime is 10761338897. The reversal of 10761338880 is 8883316701.

It can be written as a sum of positive squares in 4 ways, for example, as 170459136 + 10590879744 = 13056^2 + 102912^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120913876 + ... + 120913964.

Almost surely, 2^10761338880 is an apocalyptic number.

10761338880 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 10761338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19322486820).

10761338880 is an abundant number, since it is smaller than the sum of its proper divisors (27883634760).

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

10761338880 is an frugal number, since it uses more digits than its factorization.

10761338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10761338880 in words is "ten billion, seven hundred sixty-one million, three hundred thirty-eight thousand, eight hundred eighty".