257100029424 has 1280 divisors, whose sum is σ = 971366400000. Its totient is φ = 64780176384.

The previous prime is 257100029423. The next prime is 257100029429. The reversal of 257100029424 is 424920001752.

It is a super-2 number, since 2×257100029424² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257100029423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3837313839 + ... + 3837313905.

It is an arithmetic number, because the mean of its divisors is an integer number (758880000).

Almost surely, 2^257100029424 is an apocalyptic number.

257100029424 is a gapful number since it is divisible by the number (24) 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 257100029424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485683200000).

257100029424 is an abundant number, since it is smaller than the sum of its proper divisors (714266370576).

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

257100029424 is a wasteful number, since it uses less digits than its factorization.

257100029424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 257100029424 in words is "two hundred fifty-seven billion, one hundred million, twenty-nine thousand, four hundred twenty-four".