11677723920 has 240 divisors, whose sum is σ = 40558332672. Its totient is φ = 3008793600.

The previous prime is 11677723913. The next prime is 11677723943. The reversal of 11677723920 is 2932777611.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4021189 + ... + 4024091.

Almost surely, 2^11677723920 is an apocalyptic number.

11677723920 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 11677723920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20279166336).

11677723920 is an abundant number, since it is smaller than the sum of its proper divisors (28880608752).

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

11677723920 is a wasteful number, since it uses less digits than its factorization.

11677723920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 11677723920 in words is "eleven billion, six hundred seventy-seven million, seven hundred twenty-three thousand, nine hundred twenty".