17987940449280 has 880 divisors, whose sum is σ = 67750043074560. Its totient is φ = 4554883694592.

The previous prime is 17987940449279. The next prime is 17987940449327. The reversal of 17987940449280 is 8294404978971.

17987940449280 is a `hidden beast` number, since 1 + 7 + 98 + 7 + 9 + 40 + 4 + 492 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 17987940449199 and 17987940449208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1325853057 + ... + 1325866623.

It is an arithmetic number, because the mean of its divisors is an integer number (76988685312).

Almost surely, 2^{17987940449280} is an apocalyptic number.

17987940449280 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 17987940449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33875021537280).

17987940449280 is an abundant number, since it is smaller than the sum of its proper divisors (49762102625280).

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

17987940449280 is a wasteful number, since it uses less digits than its factorization.

17987940449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13766 (or 13739 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 17987940449280 in words is "seventeen trillion, nine hundred eighty-seven billion, nine hundred forty million, four hundred forty-nine thousand, two hundred eighty".