180982507680 has 384 divisors, whose sum is σ = 685142115840. Its totient is φ = 44355133440.

The previous prime is 180982507649. The next prime is 180982507687. The reversal of 180982507680 is 86705289081.

It is a super-2 number, since 2×180982507680² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (180982507687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13078365 + ... + 13092195.

It is an arithmetic number, because the mean of its divisors is an integer number (1784224260).

Almost surely, 2^180982507680 is an apocalyptic number.

180982507680 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 180982507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342571057920).

180982507680 is an abundant number, since it is smaller than the sum of its proper divisors (504159608160).

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

180982507680 is a wasteful number, since it uses less digits than its factorization.

180982507680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14101 (or 14087 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 180982507680 in words is "one hundred eighty billion, nine hundred eighty-two million, five hundred seven thousand, six hundred eighty".