10893874680 has 384 divisors, whose sum is σ = 40116323520. Its totient is φ = 2642595840.

The previous prime is 10893874657. The next prime is 10893874699. The reversal of 10893874680 is 8647839801.

10893874680 is a `hidden beast` number, since 10 + 8 + 93 + 87 + 468 + 0 = 666.

10893874680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9223690 + ... + 9224870.

Almost surely, 2^10893874680 is an apocalyptic number.

10893874680 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 10893874680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20058161760).

10893874680 is an abundant number, since it is smaller than the sum of its proper divisors (29222448840).

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

10893874680 is a wasteful number, since it uses less digits than its factorization.

10893874680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10893874680 in words is "ten billion, eight hundred ninety-three million, eight hundred seventy-four thousand, six hundred eighty".