10939904640 has 576 divisors, whose sum is σ = 44569193760. Its totient is φ = 2465132544.

The previous prime is 10939904629. The next prime is 10939904669. The reversal of 10939904640 is 4640993901.

10939904640 is a `hidden beast` number, since 10 + 93 + 9 + 90 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23425687 + ... + 23426153.

Almost surely, 2^10939904640 is an apocalyptic number.

10939904640 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 10939904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22284596880).

10939904640 is an abundant number, since it is smaller than the sum of its proper divisors (33629289120).

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

10939904640 is a wasteful number, since it uses less digits than its factorization.

10939904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 10939904640 in words is "ten billion, nine hundred thirty-nine million, nine hundred four thousand, six hundred forty".