10891535424 has 224 divisors, whose sum is σ = 36046964736. Its totient is φ = 2819604480.

The previous prime is 10891535419. The next prime is 10891535461. The reversal of 10891535424 is 42453519801.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 5217709 + ... + 5219795.

Almost surely, 2^10891535424 is an apocalyptic number.

10891535424 is a gapful number since it is divisible by the number (14) 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 10891535424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18023482368).

10891535424 is an abundant number, since it is smaller than the sum of its proper divisors (25155429312).

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

10891535424 is a wasteful number, since it uses less digits than its factorization.

10891535424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 10891535424 in words is "ten billion, eight hundred ninety-one million, five hundred thirty-five thousand, four hundred twenty-four".