10878192000 has 768 divisors, whose sum is σ = 43678440000. Its totient is φ = 2659737600.

The previous prime is 10878191983. The next prime is 10878192011. The reversal of 10878192000 is 29187801.

It is a super-2 number, since 2×10878192000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 73007926 + ... + 73008074.

Almost surely, 2^10878192000 is an apocalyptic number.

10878192000 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 10878192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21839220000).

10878192000 is an abundant number, since it is smaller than the sum of its proper divisors (32800248000).

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

10878192000 is a wasteful number, since it uses less digits than its factorization.

10878192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 10878192000 in words is "ten billion, eight hundred seventy-eight million, one hundred ninety-two thousand".