253634734080 has 1536 divisors, whose sum is σ = 1176906931200. Its totient is φ = 50281316352.

The previous prime is 253634734079. The next prime is 253634734099. The reversal of 253634734080 is 80437436352.

253634734080 is a `hidden beast` number, since 2 + 5 + 3 + 63 + 473 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 427714264 + ... + 427714856.

It is an arithmetic number, because the mean of its divisors is an integer number (766215450).

Almost surely, 2^253634734080 is an apocalyptic number.

253634734080 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 253634734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588453465600).

253634734080 is an abundant number, since it is smaller than the sum of its proper divisors (923272197120).

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

253634734080 is a wasteful number, since it uses less digits than its factorization.

253634734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 253634734080 in words is "two hundred fifty-three billion, six hundred thirty-four million, seven hundred thirty-four thousand, eighty".