10891083840 has 224 divisors, whose sum is σ = 42559345920. Its totient is φ = 2297880576.

The previous prime is 10891083823. The next prime is 10891083869. The reversal of 10891083840 is 4838019801.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 10891083792 and 10891083801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25026 + ... + 149694.

It is an arithmetic number, because the mean of its divisors is an integer number (189997080).

Almost surely, 2^10891083840 is an apocalyptic number.

10891083840 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 10891083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21279672960).

10891083840 is an abundant number, since it is smaller than the sum of its proper divisors (31668262080).

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

10891083840 is a wasteful number, since it uses less digits than its factorization.

10891083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124709 (or 124699 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 10891083840 in words is "ten billion, eight hundred ninety-one million, eighty-three thousand, eight hundred forty".