257553757604000 has 768 divisors, whose sum is σ = 754724261491200. Its totient is φ = 85148467200000.

The previous prime is 257553757603997. The next prime is 257553757604119. The reversal of 257553757604000 is 406757355752.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11149984451 + ... + 11150007549.

It is an arithmetic number, because the mean of its divisors is an integer number (982713882150).

Almost surely, 2^{257553757604000} is an apocalyptic number.

257553757604000 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 257553757604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377362130745600).

257553757604000 is an abundant number, since it is smaller than the sum of its proper divisors (497170503887200).

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

257553757604000 is a wasteful number, since it uses less digits than its factorization.

257553757604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23442 (or 23424 counting only the distinct ones).

The product of its (nonzero) digits is 30870000, while the sum is 56.

The spelling of 257553757604000 in words is "two hundred fifty-seven trillion, five hundred fifty-three billion, seven hundred fifty-seven million, six hundred four thousand".