11753809536 has 192 divisors, whose sum is σ = 37302158880. Its totient is φ = 3267274752.

The previous prime is 11753809517. The next prime is 11753809541. The reversal of 11753809536 is 63590835711.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (48) 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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 687751 + ... + 704633.

Almost surely, 2^11753809536 is an apocalyptic number.

11753809536 is a gapful number since it is divisible by the number (16) 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 11753809536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18651079440).

11753809536 is an abundant number, since it is smaller than the sum of its proper divisors (25548349344).

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

11753809536 is a wasteful number, since it uses less digits than its factorization.

11753809536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16951 (or 16932 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 11753809536 in words is "eleven billion, seven hundred fifty-three million, eight hundred nine thousand, five hundred thirty-six".