180120386880 has 784 divisors, whose sum is σ = 745501688064. Its totient is φ = 40579522560.

The previous prime is 180120386857. The next prime is 180120386903. The reversal of 180120386880 is 88683021081.

180120386880 is a `hidden beast` number, since 180 + 12 + 0 + 386 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (180120386857) and next prime (180120386903).

It is a super-2 number, since 2×180120386880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 119205325 + ... + 119206835.

Almost surely, 2^180120386880 is an apocalyptic number.

180120386880 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 180120386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372750844032).

180120386880 is an abundant number, since it is smaller than the sum of its proper divisors (565381301184).

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

180120386880 is an equidigital number, since it uses as much as digits as its factorization.

180120386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 180120386880 in words is "one hundred eighty billion, one hundred twenty million, three hundred eighty-six thousand, eight hundred eighty".