249080121360 has 320 divisors, whose sum is σ = 984622694400. Its totient is φ = 56693564928.

The previous prime is 249080121337. The next prime is 249080121379. The reversal of 249080121360 is 63121080942.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 3579217 + ... + 3648143.

It is an arithmetic number, because the mean of its divisors is an integer number (3076945920).

Almost surely, 2^249080121360 is an apocalyptic number.

249080121360 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 249080121360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492311347200).

249080121360 is an abundant number, since it is smaller than the sum of its proper divisors (735542573040).

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

249080121360 is a wasteful number, since it uses less digits than its factorization.

249080121360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69195 (or 69183 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

It can be divided in two parts, 2490801 and 21360, that added together give a triangular number (2512161 = T₂₂₄₁).

The spelling of 249080121360 in words is "two hundred forty-nine billion, eighty million, one hundred twenty-one thousand, three hundred sixty".