10711632625116 has 48 divisors (see below), whose sum is σ = 26314209398400. Its totient is φ = 3381986164032.

The previous prime is 10711632625049. The next prime is 10711632625117. The reversal of 10711632625116 is 61152623611701.

It is a super-2 number, since 2×10711632625116² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10711632625117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3188806 + ... + 5620653.

It is an arithmetic number, because the mean of its divisors is an integer number (548212695800).

Almost surely, 2^{10711632625116} is an apocalyptic number.

It is an amenable number.

10711632625116 is an abundant number, since it is smaller than the sum of its proper divisors (15602576773284).

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

10711632625116 is a wasteful number, since it uses less digits than its factorization.

10711632625116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8814818 (or 8814816 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 10711632625116 in words is "ten trillion, seven hundred eleven billion, six hundred thirty-two million, six hundred twenty-five thousand, one hundred sixteen".