11878312152672 has 1152 divisors, whose sum is σ = 43248096460800. Its totient is φ = 3154825884672.

The previous prime is 11878312152661. The next prime is 11878312152689. The reversal of 11878312152672 is 27625121387811.

11878312152672 is a `hidden beast` number, since 1 + 1 + 87 + 8 + 31 + 2 + 1 + 526 + 7 + 2 = 666.

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, 10007002063 + ... + 10007003249.

It is an arithmetic number, because the mean of its divisors is an integer number (37541750400).

Almost surely, 2^{11878312152672} is an apocalyptic number.

11878312152672 is a gapful number since it is divisible by the number (12) 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 11878312152672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21624048230400).

11878312152672 is an abundant number, since it is smaller than the sum of its proper divisors (31369784308128).

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

11878312152672 is a wasteful number, since it uses less digits than its factorization.

11878312152672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1504 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

The spelling of 11878312152672 in words is "eleven trillion, eight hundred seventy-eight billion, three hundred twelve million, one hundred fifty-two thousand, six hundred seventy-two".