10905179040 has 576 divisors, whose sum is σ = 46719638784. Its totient is φ = 2344992768.

The previous prime is 10905179011. The next prime is 10905179069. The reversal of 10905179040 is 4097150901.

10905179040 is a `hidden beast` number, since 10 + 9 + 0 + 517 + 90 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (10905179011) and next prime (10905179069).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10905178986 and 10905179004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4625542 + ... + 4627898.

It is an arithmetic number, because the mean of its divisors is an integer number (81110484).

Almost surely, 2^10905179040 is an apocalyptic number.

10905179040 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 10905179040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23359819392).

10905179040 is an abundant number, since it is smaller than the sum of its proper divisors (35814459744).

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

10905179040 is a wasteful number, since it uses less digits than its factorization.

10905179040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 10905179040 in words is "ten billion, nine hundred five million, one hundred seventy-nine thousand, forty".