10711401679872 has 242 divisors, whose sum is σ = 32118514508788. Its totient is φ = 3570467226624.

The previous prime is 10711401679871. The next prime is 10711401679921. The reversal of 10711401679872 is 27897610411701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10711401679872 is a `hidden beast` number, since 10 + 7 + 11 + 401 + 67 + 98 + 72 = 666.

It is a super-2 number, since 2×10711401679872² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10711401679871) by changing a digit.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 3570467226623 + 3570467226624 + 3570467226625.

Almost surely, 2^{10711401679872} is an apocalyptic number.

10711401679872 is a gapful number since it is divisible by the number (12) 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 10711401679872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16059257254394).

10711401679872 is an abundant number, since it is smaller than the sum of its proper divisors (21407112828916).

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

10711401679872 is an frugal number, since it uses more digits than its factorization.

10711401679872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 54.

10711401679872 divided by its sum of digits (54) gives a 9-th power (198359290368 = 18⁹).

The spelling of 10711401679872 in words is "ten trillion, seven hundred eleven billion, four hundred one million, six hundred seventy-nine thousand, eight hundred seventy-two".