10711946880 has 192 divisors, whose sum is σ = 37357954920. Its totient is φ = 2828083200.

The previous prime is 10711946879. The next prime is 10711946899. The reversal of 10711946880 is 8864911701.

It is a happy number.

10711946880 is a `hidden beast` number, since 107 + 1 + 1 + 9 + 468 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9810506304 + 901440576 = 99048^2 + 30024^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10711946880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 572554 + ... + 590966.

Almost surely, 2^10711946880 is an apocalyptic number.

10711946880 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 10711946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18678977460).

10711946880 is an abundant number, since it is smaller than the sum of its proper divisors (26646008040).

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

10711946880 is a wasteful number, since it uses less digits than its factorization.

10711946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18539 (or 18524 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 10711946880 in words is "ten billion, seven hundred eleven million, nine hundred forty-six thousand, eight hundred eighty".