257688767952 has 720 divisors, whose sum is σ = 955969956864. Its totient is φ = 64012032000.

The previous prime is 257688767951. The next prime is 257688767953. The reversal of 257688767952 is 259767886752.

It is an interprime number because it is at equal distance from previous prime (257688767951) and next prime (257688767953).

It is a super-2 number, since 2×257688767952² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257688767951) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 175178577 + ... + 175180047.

Almost surely, 2^257688767952 is an apocalyptic number.

257688767952 is a gapful number since it is divisible by the number (22) 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 257688767952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477984978432).

257688767952 is an abundant number, since it is smaller than the sum of its proper divisors (698281188912).

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

257688767952 is a wasteful number, since it uses less digits than its factorization.

257688767952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1592 counting only the distinct ones).

The product of its digits is 711244800, while the sum is 72.

The spelling of 257688767952 in words is "two hundred fifty-seven billion, six hundred eighty-eight million, seven hundred sixty-seven thousand, nine hundred fifty-two".