1800172799280 has 640 divisors, whose sum is σ = 6382091520000. Its totient is φ = 466263392256.

The previous prime is 1800172799279. The next prime is 1800172799291. The reversal of 1800172799280 is 829972710081.

1800172799280 is a `hidden beast` number, since 1 + 80 + 0 + 17 + 279 + 9 + 280 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3607560471 + ... + 3607560969.

It is an arithmetic number, because the mean of its divisors is an integer number (9972018000).

Almost surely, 2^{1800172799280} is an apocalyptic number.

1800172799280 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 1800172799280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191045760000).

1800172799280 is an abundant number, since it is smaller than the sum of its proper divisors (4581918720720).

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

1800172799280 is a wasteful number, since it uses less digits than its factorization.

1800172799280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 1800172799280 in words is "one trillion, eight hundred billion, one hundred seventy-two million, seven hundred ninety-nine thousand, two hundred eighty".