180050990213376 has 576 divisors, whose sum is σ = 579299164416000. Its totient is φ = 55019993333760.

The previous prime is 180050990213371. The next prime is 180050990213387. The reversal of 180050990213376 is 673312099050081.

180050990213376 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 50 + 9 + 9 + 0 + 213 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (180050990213371) 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, 329062710 + ... + 329609418.

It is an arithmetic number, because the mean of its divisors is an integer number (1005727716000).

Almost surely, 2^{180050990213376} is an apocalyptic number.

180050990213376 is a gapful number since it is divisible by the number (16) 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 180050990213376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289649582208000).

180050990213376 is an abundant number, since it is smaller than the sum of its proper divisors (399248174202624).

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

180050990213376 is a wasteful number, since it uses less digits than its factorization.

180050990213376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546847 (or 546827 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 180050990213376 in words is "one hundred eighty trillion, fifty billion, nine hundred ninety million, two hundred thirteen thousand, three hundred seventy-six".