11675052000 has 576 divisors, whose sum is σ = 43879268160. Its totient is φ = 2935296000.

The previous prime is 11675051981. The next prime is 11675052013. The reversal of 11675052000 is 25057611.

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, 55331895 + ... + 55332105.

It is an arithmetic number, because the mean of its divisors is an integer number (76179285).

Almost surely, 2^11675052000 is an apocalyptic number.

11675052000 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 11675052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21939634080).

11675052000 is an abundant number, since it is smaller than the sum of its proper divisors (32204216160).

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

11675052000 is a wasteful number, since it uses less digits than its factorization.

11675052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 11675052000 in words is "eleven billion, six hundred seventy-five million, fifty-two thousand".