10893052800 has 1152 divisors, whose sum is σ = 48446899200. Its totient is φ = 2380492800.

The previous prime is 10893052777. The next prime is 10893052823. The reversal of 10893052800 is 825039801.

It is an interprime number because it is at equal distance from previous prime (10893052777) and next prime (10893052823).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131241559 + ... + 131241641.

It is an arithmetic number, because the mean of its divisors is an integer number (42054600).

Almost surely, 2^10893052800 is an apocalyptic number.

10893052800 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 10893052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24223449600).

10893052800 is an abundant number, since it is smaller than the sum of its proper divisors (37553846400).

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

10893052800 is a wasteful number, since it uses less digits than its factorization.

10893052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10893052800 in words is "ten billion, eight hundred ninety-three million, fifty-two thousand, eight hundred".