11677152000 has 144 divisors (see below), whose sum is σ = 38785979232. Its totient is φ = 3113881600.

The previous prime is 11677151999. The next prime is 11677152023. The reversal of 11677152000 is 25177611.

It is a super-2 number, since 2×11677152000² (a number of 21 digits) contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35182 + ... + 156818.

It is an arithmetic number, because the mean of its divisors is an integer number (269347078).

Almost surely, 2^11677152000 is an apocalyptic number.

11677152000 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 11677152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19392989616).

11677152000 is an abundant number, since it is smaller than the sum of its proper divisors (27108827232).

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

11677152000 is an equidigital number, since it uses as much as digits as its factorization.

11677152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121671 (or 121647 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

The spelling of 11677152000 in words is "eleven billion, six hundred seventy-seven million, one hundred fifty-two thousand".