10878726144 has 416 divisors, whose sum is σ = 35139783168. Its totient is φ = 2949120000.

The previous prime is 10878726137. The next prime is 10878726167. The reversal of 10878726144 is 44162787801.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×10878726144² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 10878726093 and 10878726102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72044469 + ... + 72044619.

Almost surely, 2^10878726144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10878726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17569891584).

10878726144 is an abundant number, since it is smaller than the sum of its proper divisors (24261057024).

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

10878726144 is a wasteful number, since it uses less digits than its factorization.

10878726144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 10878726144 in words is "ten billion, eight hundred seventy-eight million, seven hundred twenty-six thousand, one hundred forty-four".