10861661952 has 360 divisors, whose sum is σ = 34103011712. Its totient is φ = 3433881600.

The previous prime is 10861661939. The next prime is 10861661963. The reversal of 10861661952 is 25916616801.

10861661952 is a `hidden beast` number, since 10 + 8 + 6 + 16 + 619 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10861661898 and 10861661907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39211638 + ... + 39211914.

Almost surely, 2^10861661952 is an apocalyptic number.

10861661952 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 10861661952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17051505856).

10861661952 is an abundant number, since it is smaller than the sum of its proper divisors (23241349760).

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

10861661952 is an equidigital number, since it uses as much as digits as its factorization.

10861661952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10861661952 in words is "ten billion, eight hundred sixty-one million, six hundred sixty-one thousand, nine hundred fifty-two".