257068977420 has 48 divisors (see below), whose sum is σ = 757676989440. Its totient is φ = 64943741376.

The previous prime is 257068977397. The next prime is 257068977421. The reversal of 257068977420 is 24779860752.

257068977420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (257068977421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112748412 + ... + 112750691.

It is an arithmetic number, because the mean of its divisors is an integer number (15784937280).

Almost surely, 2^257068977420 is an apocalyptic number.

257068977420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257068977420 is an abundant number, since it is smaller than the sum of its proper divisors (500608012020).

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

257068977420 is a wasteful number, since it uses less digits than its factorization.

257068977420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225499134 (or 225499132 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 257068977420 in words is "two hundred fifty-seven billion, sixty-eight million, nine hundred seventy-seven thousand, four hundred twenty".