11677824000 has 704 divisors, whose sum is σ = 44961945600. Its totient is φ = 2985984000.

The previous prime is 11677823999. The next prime is 11677824001. The reversal of 11677824000 is 42877611.

It is an interprime number because it is at equal distance from previous prime (11677823999) and next prime (11677824001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11677824001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107135946 + ... + 107136054.

It is an arithmetic number, because the mean of its divisors is an integer number (63866400).

Almost surely, 2^11677824000 is an apocalyptic number.

11677824000 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 11677824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22480972800).

11677824000 is an abundant number, since it is smaller than the sum of its proper divisors (33284121600).

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

11677824000 is a wasteful number, since it uses less digits than its factorization.

11677824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 11677824000 in words is "eleven billion, six hundred seventy-seven million, eight hundred twenty-four thousand".