10861167120 has 80 divisors (see below), whose sum is σ = 34221625152. Its totient is φ = 2848826880.

The previous prime is 10861167113. The next prime is 10861167173. The reversal of 10861167120 is 2176116801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×10861167120⁴ (a number of 41 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356302 + ... + 385581.

Almost surely, 2^10861167120 is an apocalyptic number.

10861167120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10861167120 is an abundant number, since it is smaller than the sum of its proper divisors (23360458032).

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

10861167120 is a wasteful number, since it uses less digits than its factorization.

10861167120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741960 (or 741954 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

It can be divided in two parts, 108611671 and 20, that added together give a triangular number (108611691 = T₁₄₇₃₈).

The spelling of 10861167120 in words is "ten billion, eight hundred sixty-one million, one hundred sixty-seven thousand, one hundred twenty".