11856220346880 has 960 divisors, whose sum is σ = 51292032599808. Its totient is φ = 2464166707200.

The previous prime is 11856220346869. The next prime is 11856220346891. The reversal of 11856220346880 is 8864302265811.

11856220346880 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 622 + 0 + 3 + 4 + 6 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11856220346869) and next prime (11856220346891).

It is a tau number, because it is divible by the number of its divisors (960).

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, 140432680 + ... + 140517080.

Almost surely, 2^{11856220346880} is an apocalyptic number.

11856220346880 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 11856220346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25646016299904).

11856220346880 is an abundant number, since it is smaller than the sum of its proper divisors (39435812252928).

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

11856220346880 is a wasteful number, since it uses less digits than its factorization.

11856220346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84517 (or 84498 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 11856220346880 in words is "eleven trillion, eight hundred fifty-six billion, two hundred twenty million, three hundred forty-six thousand, eight hundred eighty".