257559044060 has 96 divisors (see below), whose sum is σ = 560974159872. Its totient is φ = 99227842560.

The previous prime is 257559044009. The next prime is 257559044077. The reversal of 257559044060 is 60440955752.

It is a super-2 number, since 2×257559044060² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257559043996 and 257559044014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180996509 + ... + 180997931.

It is an arithmetic number, because the mean of its divisors is an integer number (5843480832).

Almost surely, 2^257559044060 is an apocalyptic number.

257559044060 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 257559044060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280487079936).

257559044060 is an abundant number, since it is smaller than the sum of its proper divisors (303415115812).

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

257559044060 is a wasteful number, since it uses less digits than its factorization.

257559044060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 47.

The spelling of 257559044060 in words is "two hundred fifty-seven billion, five hundred fifty-nine million, forty-four thousand, sixty".