253944827136 has 1728 divisors, whose sum is σ = 1079514562560. Its totient is φ = 56853135360.

The previous prime is 253944827093. The next prime is 253944827183. The reversal of 253944827136 is 631728449352.

253944827136 is a `hidden beast` number, since 2 + 5 + 3 + 94 + 482 + 71 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

Its product of digits (8709120) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1999565505 + ... + 1999565631.

Almost surely, 2^253944827136 is an apocalyptic number.

253944827136 is a gapful number since it is divisible by the number (26) 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 253944827136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539757281280).

253944827136 is an abundant number, since it is smaller than the sum of its proper divisors (825569735424).

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

253944827136 is a wasteful number, since it uses less digits than its factorization.

253944827136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 180 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 253944827136 in words is "two hundred fifty-three billion, nine hundred forty-four million, eight hundred twenty-seven thousand, one hundred thirty-six".