10771292160 has 336 divisors, whose sum is σ = 38029530240. Its totient is φ = 2819358720.

The previous prime is 10771292137. The next prime is 10771292177. The reversal of 10771292160 is 6129217701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22486801 + ... + 22487279.

Almost surely, 2^10771292160 is an apocalyptic number.

10771292160 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 10771292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19014765120).

10771292160 is an abundant number, since it is smaller than the sum of its proper divisors (27258238080).

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

10771292160 is an equidigital number, since it uses as much as digits as its factorization.

10771292160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 10771292160 in words is "ten billion, seven hundred seventy-one million, two hundred ninety-two thousand, one hundred sixty".