10110812880 has 480 divisors, whose sum is σ = 39388550400. Its totient is φ = 2132680704.

The previous prime is 10110812837. The next prime is 10110812927. The reversal of 10110812880 is 8821801101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7843276 + ... + 7844564.

It is an arithmetic number, because the mean of its divisors is an integer number (82059480).

Almost surely, 2^10110812880 is an apocalyptic number.

10110812880 is a gapful number since it is divisible by the number (10) 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 10110812880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19694275200).

10110812880 is an abundant number, since it is smaller than the sum of its proper divisors (29277737520).

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

10110812880 is a wasteful number, since it uses less digits than its factorization.

10110812880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 30.

The spelling of 10110812880 in words is "ten billion, one hundred ten million, eight hundred twelve thousand, eight hundred eighty".