257361552000 has 768 divisors, whose sum is σ = 1064894688000. Its totient is φ = 58346496000.

The previous prime is 257361551983. The next prime is 257361552013. The reversal of 257361552000 is 255163752.

257361552000 is a `hidden beast` number, since 2 + 5 + 73 + 61 + 5 + 520 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132047026 + ... + 132048974.

It is an arithmetic number, because the mean of its divisors is an integer number (1386581625).

Almost surely, 2^257361552000 is an apocalyptic number.

257361552000 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 257361552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532447344000).

257361552000 is an abundant number, since it is smaller than the sum of its proper divisors (807533136000).

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

257361552000 is a wasteful number, since it uses less digits than its factorization.

257361552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 257361552000 in words is "two hundred fifty-seven billion, three hundred sixty-one million, five hundred fifty-two thousand".