11812862880 has 768 divisors, whose sum is σ = 51480576000. Its totient is φ = 2463436800.

The previous prime is 11812862869. The next prime is 11812862899. The reversal of 11812862880 is 8826821811.

11812862880 is a `hidden beast` number, since 1 + 1 + 8 + 12 + 8 + 628 + 8 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 59361021 + ... + 59361219.

It is an arithmetic number, because the mean of its divisors is an integer number (67032000).

Almost surely, 2^11812862880 is an apocalyptic number.

11812862880 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 11812862880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25740288000).

11812862880 is an abundant number, since it is smaller than the sum of its proper divisors (39667713120).

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

11812862880 is a wasteful number, since it uses less digits than its factorization.

11812862880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 45.

The spelling of 11812862880 in words is "eleven billion, eight hundred twelve million, eight hundred sixty-two thousand, eight hundred eighty".