249826890055680 has 4224 divisors, whose sum is σ = 1143465979282560. Its totient is φ = 52010585948160.

The previous prime is 249826890055669. The next prime is 249826890055709. The reversal of 249826890055680 is 86550098628942.

249826890055680 is a `hidden beast` number, since 2 + 4 + 9 + 8 + 2 + 68 + 9 + 0 + 0 + 556 + 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 = 249826890055599 and 249826890055608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 8058931937265 + ... + 8058931937295.

Almost surely, 2^{249826890055680} is an apocalyptic number.

249826890055680 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 249826890055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571732989641280).

249826890055680 is an abundant number, since it is smaller than the sum of its proper divisors (893639089226880).

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

249826890055680 is an frugal number, since it uses more digits than its factorization.

249826890055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 249826890055680 in words is "two hundred forty-nine trillion, eight hundred twenty-six billion, eight hundred ninety million, fifty-five thousand, six hundred eighty".