253983744000 has 1344 divisors, whose sum is σ = 1088707756032. Its totient is φ = 55738368000.

The previous prime is 253983743977. The next prime is 253983744011. The reversal of 253983744000 is 447389352.

253983744000 is a `hidden beast` number, since 2 + 539 + 8 + 3 + 74 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

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 95 ways as a sum of consecutive naturals, for example, 1999871937 + ... + 1999872063.

Almost surely, 2^253983744000 is an apocalyptic number.

253983744000 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 253983744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544353878016).

253983744000 is an abundant number, since it is smaller than the sum of its proper divisors (834724012032).

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

253983744000 is a wasteful number, since it uses less digits than its factorization.

253983744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 253983744000 in words is "two hundred fifty-three billion, nine hundred eighty-three million, seven hundred forty-four thousand".