257484728124000 has 3840 divisors, whose sum is σ = 1096412308992000. Its totient is φ = 58657565491200.

The previous prime is 257484728123939. The next prime is 257484728124073. The reversal of 257484728124000 is 421827484752.

257484728124000 is a `hidden beast` number, since 2 + 5 + 7 + 48 + 472 + 8 + 124 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 878787467854 + ... + 878787468146.

It is an arithmetic number, because the mean of its divisors is an integer number (285524038800).

Almost surely, 2^{257484728124000} is an apocalyptic number.

257484728124000 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 257484728124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548206154496000).

257484728124000 is an abundant number, since it is smaller than the sum of its proper divisors (838927580868000).

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

257484728124000 is a wasteful number, since it uses less digits than its factorization.

257484728124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 54.

The spelling of 257484728124000 in words is "two hundred fifty-seven trillion, four hundred eighty-four billion, seven hundred twenty-eight million, one hundred twenty-four thousand".