861957220896 has 36 divisors (see below), whose sum is σ = 2451190847742. Its totient is φ = 287319073536.

The previous prime is 861957220877. The next prime is 861957220897. The reversal of 861957220896 is 698022759168.

861957220896 is a `hidden beast` number, since 8 + 619 + 5 + 7 + 2 + 2 + 0 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 804673585296 + 57283635600 = 897036^2 + 239340^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×861957220896³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (861957220897) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1496453221 + ... + 1496453796.

Almost surely, 2^861957220896 is an apocalyptic number.

It is an amenable number.

861957220896 is an abundant number, since it is smaller than the sum of its proper divisors (1589233626846).

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

861957220896 is a wasteful number, since it uses less digits than its factorization.

861957220896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992907033 (or 2992907022 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

It can be divided in two parts, 8619572 and 20896, that added together give a palindrome (8640468).

The spelling of 861957220896 in words is "eight hundred sixty-one billion, nine hundred fifty-seven million, two hundred twenty thousand, eight hundred ninety-six".