180078870142080 has 5120 divisors, whose sum is σ = 861354759767040. Its totient is φ = 34780741632000.

The previous prime is 180078870142051. The next prime is 180078870142109. The reversal of 180078870142080 is 80241078870081.

It is a happy number.

180078870142080 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 78 + 8 + 70 + 1 + 420 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (180078870142051) and next prime (180078870142109).

It is a super-2 number, since 2×180078870142080² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 640850071540 + ... + 640850071820.

It is an arithmetic number, because the mean of its divisors is an integer number (168233351517).

Almost surely, 2^{180078870142080} is an apocalyptic number.

180078870142080 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 180078870142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430677379883520).

180078870142080 is an abundant number, since it is smaller than the sum of its proper divisors (681275889624960).

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

180078870142080 is a wasteful number, since it uses less digits than its factorization.

180078870142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 54.

The spelling of 180078870142080 in words is "one hundred eighty trillion, seventy-eight billion, eight hundred seventy million, one hundred forty-two thousand, eighty".