11512093178880 has 2112 divisors, whose sum is σ = 49865878978560. Its totient is φ = 2508226560000.

The previous prime is 11512093178851. The next prime is 11512093178909. The reversal of 11512093178880 is 8887139021511.

11512093178880 is a `hidden beast` number, since 1 + 151 + 20 + 9 + 317 + 88 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (11512093178851) and next prime (11512093178909).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15329018505 + ... + 15329019255.

Almost surely, 2^{11512093178880} is an apocalyptic number.

11512093178880 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 11512093178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24932939489280).

11512093178880 is an abundant number, since it is smaller than the sum of its proper divisors (38353785799680).

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

11512093178880 is a wasteful number, since it uses less digits than its factorization.

11512093178880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 54.

The spelling of 11512093178880 in words is "eleven trillion, five hundred twelve billion, ninety-three million, one hundred seventy-eight thousand, eight hundred eighty".