253962805248 has 672 divisors, whose sum is σ = 832898613600. Its totient is φ = 76365692928.

The previous prime is 253962805247. The next prime is 253962805319. The reversal of 253962805248 is 842508269352.

253962805248 is a `hidden beast` number, since 2 + 5 + 3 + 9 + 628 + 0 + 5 + 2 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 253962805194 and 253962805203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253962805241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1853743036 + ... + 1853743172.

Almost surely, 2^253962805248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253962805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416449306800).

253962805248 is an abundant number, since it is smaller than the sum of its proper divisors (578935808352).

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

253962805248 is a wasteful number, since it uses less digits than its factorization.

253962805248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 253962805248 in words is "two hundred fifty-three billion, nine hundred sixty-two million, eight hundred five thousand, two hundred forty-eight".