253923163240 has 64 divisors (see below), whose sum is σ = 584209694160. Its totient is φ = 99292876800.

The previous prime is 253923163229. The next prime is 253923163261. The reversal of 253923163240 is 42361329352.

It can be written as a sum of positive squares in 8 ways, for example, as 133512775236 + 120410388004 = 365394^2 + 347002^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 253923163193 and 253923163202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371040 + ... + 803440.

Almost surely, 2^253923163240 is an apocalyptic number.

253923163240 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 253923163240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292104847080).

253923163240 is an abundant number, since it is smaller than the sum of its proper divisors (330286530920).

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

253923163240 is a wasteful number, since it uses less digits than its factorization.

253923163240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432742 (or 432738 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The spelling of 253923163240 in words is "two hundred fifty-three billion, nine hundred twenty-three million, one hundred sixty-three thousand, two hundred forty".