10712540916 has 324 divisors, whose sum is σ = 35762912640. Its totient is φ = 2691057600.

The previous prime is 10712540897. The next prime is 10712540953. The reversal of 10712540916 is 61904521701.

10712540916 is a `hidden beast` number, since 10 + 7 + 12 + 540 + 91 + 6 = 666.

It is a super-3 number, since 3×10712540916³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6615955 + ... + 6617573.

It is an arithmetic number, because the mean of its divisors is an integer number (110379360).

Almost surely, 2^10712540916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10712540916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17881456320).

10712540916 is an abundant number, since it is smaller than the sum of its proper divisors (25050371724).

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

10712540916 is a wasteful number, since it uses less digits than its factorization.

10712540916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10712540916 in words is "ten billion, seven hundred twelve million, five hundred forty thousand, nine hundred sixteen".