10880813952 has 96 divisors (see below), whose sum is σ = 31688191080. Its totient is φ = 3583208448.

The previous prime is 10880813917. The next prime is 10880814023. The reversal of 10880813952 is 25931808801.

It is a happy number.

10880813952 is a `hidden beast` number, since 108 + 80 + 81 + 395 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10880813952² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10880813898 and 10880813907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38718 + ... + 152514.

Almost surely, 2^10880813952 is an apocalyptic number.

10880813952 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 10880813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15844095540).

10880813952 is an abundant number, since it is smaller than the sum of its proper divisors (20807377128).

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

10880813952 is a wasteful number, since it uses less digits than its factorization.

10880813952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113900 (or 113885 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

It can be divided in two parts, 108808 and 13952, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 10880813952 in words is "ten billion, eight hundred eighty million, eight hundred thirteen thousand, nine hundred fifty-two".