253508417280 has 864 divisors, whose sum is σ = 986430312000. Its totient is φ = 61436067840.

The previous prime is 253508417251. The next prime is 253508417347. The reversal of 253508417280 is 82714805352.

253508417280 is a `hidden beast` number, since 2 + 5 + 350 + 8 + 4 + 17 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 564606496 + ... + 564606944.

It is an arithmetic number, because the mean of its divisors is an integer number (1141701750).

Almost surely, 2^253508417280 is an apocalyptic number.

253508417280 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 253508417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493215156000).

253508417280 is an abundant number, since it is smaller than the sum of its proper divisors (732921894720).

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

253508417280 is a wasteful number, since it uses less digits than its factorization.

253508417280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 253508417280 in words is "two hundred fifty-three billion, five hundred eight million, four hundred seventeen thousand, two hundred eighty".