10761121140 has 384 divisors, whose sum is σ = 39066402816. Its totient is φ = 2147904000.

The previous prime is 10761121087. The next prime is 10761121199. The reversal of 10761121140 is 4112116701.

It is a self number, because there is not a number n which added to its sum of digits gives 10761121140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32510775 + ... + 32511105.

It is an arithmetic number, because the mean of its divisors is an integer number (101735424).

Almost surely, 2^10761121140 is an apocalyptic number.

10761121140 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 10761121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19533201408).

10761121140 is an abundant number, since it is smaller than the sum of its proper divisors (28305281676).

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

10761121140 is a wasteful number, since it uses less digits than its factorization.

10761121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

Adding to 10761121140 its reverse (4112116701), we get a palindrome (14873237841).

The spelling of 10761121140 in words is "ten billion, seven hundred sixty-one million, one hundred twenty-one thousand, one hundred forty".