180972792000 has 3136 divisors, whose sum is σ = 931317424128. Its totient is φ = 33592320000.

The previous prime is 180972791959. The next prime is 180972792041. The reversal of 180972792000 is 297279081.

It is an interprime number because it is at equal distance from previous prime (180972791959) and next prime (180972792041).

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 5837831985 + ... + 5837832015.

Almost surely, 2^180972792000 is an apocalyptic number.

180972792000 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 180972792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465658712064).

180972792000 is an abundant number, since it is smaller than the sum of its proper divisors (750344632128).

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

180972792000 is a wasteful number, since it uses less digits than its factorization.

180972792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 180972792000 in words is "one hundred eighty billion, nine hundred seventy-two million, seven hundred ninety-two thousand".