10876252800 has 384 divisors, whose sum is σ = 42360681600. Its totient is φ = 2399846400.

The previous prime is 10876252787. The next prime is 10876252813. The reversal of 10876252800 is 825267801.

It is an interprime number because it is at equal distance from previous prime (10876252787) and next prime (10876252813).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1946010 + ... + 1951590.

It is an arithmetic number, because the mean of its divisors is an integer number (110314275).

Almost surely, 2^10876252800 is an apocalyptic number.

10876252800 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 10876252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21180340800).

10876252800 is an abundant number, since it is smaller than the sum of its proper divisors (31484428800).

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

10876252800 is a wasteful number, since it uses less digits than its factorization.

10876252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5644 (or 5627 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 10876252800 in words is "ten billion, eight hundred seventy-six million, two hundred fifty-two thousand, eight hundred".