253257160950 has 192 divisors, whose sum is σ = 725578560000. Its totient is φ = 64876775040.

The previous prime is 253257160939. The next prime is 253257160987. The reversal of 253257160950 is 59061752352.

253257160950 is a `hidden beast` number, since 2 + 5 + 32 + 5 + 7 + 1 + 609 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 253257160896 and 253257160905.

It is a congruent number.

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, 7774597 + ... + 7807103.

It is an arithmetic number, because the mean of its divisors is an integer number (3779055000).

Almost surely, 2^253257160950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253257160950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362789280000).

253257160950 is an abundant number, since it is smaller than the sum of its proper divisors (472321399050).

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

253257160950 is a wasteful number, since it uses less digits than its factorization.

253257160950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32756 (or 32745 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 253257160950 in words is "two hundred fifty-three billion, two hundred fifty-seven million, one hundred sixty thousand, nine hundred fifty".