180536857984 has 256 divisors, whose sum is σ = 445751424000. Its totient is φ = 71127834624.

The previous prime is 180536857951. The next prime is 180536857999. The reversal of 180536857984 is 489758635081.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160762447 + ... + 160763569.

It is an arithmetic number, because the mean of its divisors is an integer number (1741216500).

Almost surely, 2^180536857984 is an apocalyptic number.

180536857984 is a gapful number since it is divisible by the number (14) 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 180536857984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222875712000).

180536857984 is an abundant number, since it is smaller than the sum of its proper divisors (265214566016).

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

180536857984 is a wasteful number, since it uses less digits than its factorization.

180536857984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 64.

The spelling of 180536857984 in words is "one hundred eighty billion, five hundred thirty-six million, eight hundred fifty-seven thousand, nine hundred eighty-four".