253450252551320 has 512 divisors, whose sum is σ = 664124832000000. Its totient is φ = 86199076454400.

The previous prime is 253450252551319. The next prime is 253450252551367. The reversal of 253450252551320 is 23155252054352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 12215048306 + ... + 12215069054.

It is an arithmetic number, because the mean of its divisors is an integer number (1297118812500).

Almost surely, 2^{253450252551320} is an apocalyptic number.

253450252551320 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 253450252551320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332062416000000).

253450252551320 is an abundant number, since it is smaller than the sum of its proper divisors (410674579448680).

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

253450252551320 is a wasteful number, since it uses less digits than its factorization.

253450252551320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21107 (or 21103 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 44.

The spelling of 253450252551320 in words is "two hundred fifty-three trillion, four hundred fifty billion, two hundred fifty-two million, five hundred fifty-one thousand, three hundred twenty".