11777600016 has 480 divisors, whose sum is σ = 42810593280. Its totient is φ = 3072577536.

The previous prime is 11777599961. The next prime is 11777600027. The reversal of 11777600016 is 61000677711.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34948200 + ... + 34948536.

It is an arithmetic number, because the mean of its divisors is an integer number (89188736).

Almost surely, 2^11777600016 is an apocalyptic number.

11777600016 is a gapful number since it is divisible by the number (16) 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 11777600016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21405296640).

11777600016 is an abundant number, since it is smaller than the sum of its proper divisors (31032993264).

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

11777600016 is a wasteful number, since it uses less digits than its factorization.

11777600016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The spelling of 11777600016 in words is "eleven billion, seven hundred seventy-seven million, six hundred thousand, sixteen".