10878858900 has 360 divisors, whose sum is σ = 43405971840. Its totient is φ = 2295164160.

The previous prime is 10878858883. The next prime is 10878858911. The reversal of 10878858900 is 985887801.

It is a super-2 number, since 2×10878858900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 729721 + ... + 744479.

It is an arithmetic number, because the mean of its divisors is an integer number (120572144).

Almost surely, 2^10878858900 is an apocalyptic number.

10878858900 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 10878858900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21702985920).

10878858900 is an abundant number, since it is smaller than the sum of its proper divisors (32527112940).

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

10878858900 is a wasteful number, since it uses less digits than its factorization.

10878858900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14805 (or 14789 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 10878858900 in words is "ten billion, eight hundred seventy-eight million, eight hundred fifty-eight thousand, nine hundred".