11683077120 has 880 divisors, whose sum is σ = 49434362208. Its totient is φ = 2601123840.

The previous prime is 11683077103. The next prime is 11683077137. The reversal of 11683077120 is 2177038611.

It is an interprime number because it is at equal distance from previous prime (11683077103) and next prime (11683077137).

It is a tau number, because it is divible by the number of its divisors (880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59304862 + ... + 59305058.

Almost surely, 2^11683077120 is an apocalyptic number.

11683077120 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 11683077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24717181104).

11683077120 is an abundant number, since it is smaller than the sum of its proper divisors (37751285088).

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

11683077120 is a wasteful number, since it uses less digits than its factorization.

11683077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 11683077120 in words is "eleven billion, six hundred eighty-three million, seventy-seven thousand, one hundred twenty".