249986580480 has 1792 divisors, whose sum is σ = 1155244688640. Its totient is φ = 50451185664.

The previous prime is 249986580427. The next prime is 249986580499. The reversal of 249986580480 is 84085689942.

249986580480 is a `hidden beast` number, since 2 + 4 + 9 + 9 + 8 + 6 + 580 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10868981749 + ... + 10868981771.

It is an arithmetic number, because the mean of its divisors is an integer number (644667795).

Almost surely, 2^249986580480 is an apocalyptic number.

249986580480 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 249986580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577622344320).

249986580480 is an abundant number, since it is smaller than the sum of its proper divisors (905258108160).

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

249986580480 is an frugal number, since it uses more digits than its factorization.

249986580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 249986580480 in words is "two hundred forty-nine billion, nine hundred eighty-six million, five hundred eighty thousand, four hundred eighty".