11765352000 has 112 divisors (see below), whose sum is σ = 38849271552. Its totient is φ = 3137420800.

The previous prime is 11765351987. The next prime is 11765352013. The reversal of 11765352000 is 25356711.

It is an interprime number because it is at equal distance from previous prime (11765351987) and next prime (11765352013).

It is a hoax number, since the sum of its digits (30) 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 (30).

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 15 ways as a sum of consecutive naturals, for example, 221112 + ... + 269111.

It is an arithmetic number, because the mean of its divisors is an integer number (346868496).

Almost surely, 2^11765352000 is an apocalyptic number.

11765352000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11765352000 is an abundant number, since it is smaller than the sum of its proper divisors (27083919552).

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

11765352000 is an equidigital number, since it uses as much as digits as its factorization.

11765352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490253 (or 490233 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

It can be divided in two parts, 117653 and 52000, that added together give a triangular number (169653 = T₅₈₂).

The spelling of 11765352000 in words is "eleven billion, seven hundred sixty-five million, three hundred fifty-two thousand".