7861105516896 has 72 divisors (see below), whose sum is σ = 22688675866584. Its totient is φ = 2581258521600.

The previous prime is 7861105516889. The next prime is 7861105516897. The reversal of 7861105516896 is 6986155011687.

7861105516896 is a `hidden beast` number, since 7 + 8 + 6 + 1 + 10 + 551 + 68 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7861105516897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203678505 + ... + 203717096.

It is an arithmetic number, because the mean of its divisors is an integer number (315120498147).

Almost surely, 2^{7861105516896} is an apocalyptic number.

It is an amenable number.

7861105516896 is an abundant number, since it is smaller than the sum of its proper divisors (14827570349688).

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

7861105516896 is a wasteful number, since it uses less digits than its factorization.

7861105516896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407395684 (or 407395673 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 7861105516896 in words is "seven trillion, eight hundred sixty-one billion, one hundred five million, five hundred sixteen thousand, eight hundred ninety-six".