10811897040 has 480 divisors, whose sum is σ = 41330497536. Its totient is φ = 2326410240.

The previous prime is 10811896973. The next prime is 10811897077. The reversal of 10811897040 is 4079811801.

It is a self number, because there is not a number n which added to its sum of digits gives 10811897040.

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 95 ways as a sum of consecutive naturals, for example, 19203799 + ... + 19204361.

Almost surely, 2^10811897040 is an apocalyptic number.

10811897040 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 10811897040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20665248768).

10811897040 is an abundant number, since it is smaller than the sum of its proper divisors (30518600496).

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

10811897040 is a wasteful number, since it uses less digits than its factorization.

10811897040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 39.

The spelling of 10811897040 in words is "ten billion, eight hundred eleven million, eight hundred ninety-seven thousand, forty".