11870347104 has 864 divisors, whose sum is σ = 47789554176. Its totient is φ = 2700656640.

The previous prime is 11870347043. The next prime is 11870347123. The reversal of 11870347104 is 40174307811.

11870347104 is a `hidden beast` number, since 1 + 187 + 0 + 3 + 471 + 0 + 4 = 666.

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 143 ways as a sum of consecutive naturals, for example, 320820174 + ... + 320820210.

It is an arithmetic number, because the mean of its divisors is an integer number (55311984).

Almost surely, 2^11870347104 is an apocalyptic number.

11870347104 is a gapful number since it is divisible by the number (14) 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 11870347104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23894777088).

11870347104 is an abundant number, since it is smaller than the sum of its proper divisors (35919207072).

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

11870347104 is a wasteful number, since it uses less digits than its factorization.

11870347104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 100 counting only the distinct ones).

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

The spelling of 11870347104 in words is "eleven billion, eight hundred seventy million, three hundred forty-seven thousand, one hundred four".