10870142976 has 960 divisors, whose sum is σ = 43381578240. Its totient is φ = 2627665920.

The previous prime is 10870142971. The next prime is 10870142977. The reversal of 10870142976 is 67924107801.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10870142971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 293787630 + ... + 293787666.

It is an arithmetic number, because the mean of its divisors is an integer number (45189144).

Almost surely, 2^10870142976 is an apocalyptic number.

10870142976 is a gapful number since it is divisible by the number (16) 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 10870142976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21690789120).

10870142976 is an abundant number, since it is smaller than the sum of its proper divisors (32511435264).

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

10870142976 is a wasteful number, since it uses less digits than its factorization.

10870142976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 10870142976 in words is "ten billion, eight hundred seventy million, one hundred forty-two thousand, nine hundred seventy-six".