257221314720 has 192 divisors, whose sum is σ = 921211885440. Its totient is φ = 66997131264.

The previous prime is 257221314667. The next prime is 257221314737. The reversal of 257221314720 is 27413122752.

257221314720 is a `hidden beast` number, since 2 + 57 + 2 + 2 + 131 + 472 + 0 = 666.

257221314720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506589 + ... + 878108.

It is an arithmetic number, because the mean of its divisors is an integer number (4797978570).

Almost surely, 2^257221314720 is an apocalyptic number.

257221314720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257221314720 is an abundant number, since it is smaller than the sum of its proper divisors (663990570720).

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

257221314720 is a wasteful number, since it uses less digits than its factorization.

257221314720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384764 (or 1384750 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 257221314720 in words is "two hundred fifty-seven billion, two hundred twenty-one million, three hundred fourteen thousand, seven hundred twenty".