10771141920 has 384 divisors, whose sum is σ = 42692106240. Its totient is φ = 2217492480.

The previous prime is 10771141919. The next prime is 10771141943. The reversal of 10771141920 is 2914117701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4175191 + ... + 4177769.

It is an arithmetic number, because the mean of its divisors is an integer number (111177360).

Almost surely, 2^10771141920 is an apocalyptic number.

10771141920 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 10771141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21346053120).

10771141920 is an abundant number, since it is smaller than the sum of its proper divisors (31920964320).

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

10771141920 is a wasteful number, since it uses less digits than its factorization.

10771141920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 33.

The spelling of 10771141920 in words is "ten billion, seven hundred seventy-one million, one hundred forty-one thousand, nine hundred twenty".