253170055008 has 768 divisors, whose sum is σ = 867799941120. Its totient is φ = 71165952000.

The previous prime is 253170054989. The next prime is 253170055063. The reversal of 253170055008 is 800550071352.

253170055008 is a `hidden beast` number, since 2 + 5 + 31 + 70 + 0 + 550 + 0 + 8 = 666.

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

It is a congruent number.

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, 808849860 + ... + 808850172.

It is an arithmetic number, because the mean of its divisors is an integer number (1129947840).

Almost surely, 2^253170055008 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 253170055008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433899970560).

253170055008 is an abundant number, since it is smaller than the sum of its proper divisors (614629886112).

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

253170055008 is a wasteful number, since it uses less digits than its factorization.

253170055008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 253170055008 in words is "two hundred fifty-three billion, one hundred seventy million, fifty-five thousand, eight".