249921180794880 has 1520 divisors, whose sum is σ = 1045064213107200. Its totient is φ = 57116517728256.

The previous prime is 249921180794839. The next prime is 249921180794891. The reversal of 249921180794880 is 88497081129942.

249921180794880 is a `hidden beast` number, since 2 + 49 + 9 + 21 + 1 + 80 + 7 + 9 + 488 + 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 = 249921180794799 and 249921180794808.

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, 36415730329 + ... + 36415737191.

Almost surely, 2^{249921180794880} is an apocalyptic number.

249921180794880 is a gapful number since it is divisible by the number (20) 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 249921180794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522532106553600).

249921180794880 is an abundant number, since it is smaller than the sum of its proper divisors (795143032312320).

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

249921180794880 is an frugal number, since it uses more digits than its factorization.

249921180794880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6937 (or 6880 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 72.

The spelling of 249921180794880 in words is "two hundred forty-nine trillion, nine hundred twenty-one billion, one hundred eighty million, seven hundred ninety-four thousand, eight hundred eighty".