253078481811456 has 1344 divisors, whose sum is σ = 923296727808000. Its totient is φ = 69161086697472.

The previous prime is 253078481811439. The next prime is 253078481811487. The reversal of 253078481811456 is 654118184870352.

253078481811456 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 7 + 8 + 481 + 8 + 1 + 145 + 6 = 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 (63).

It is a junction number, because it is equal to n+sod(n) for n = 253078481811393 and 253078481811402.

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 111 ways as a sum of consecutive naturals, for example, 11778203145 + ... + 11778224631.

It is an arithmetic number, because the mean of its divisors is an integer number (686976732000).

Almost surely, 2^{253078481811456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253078481811456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461648363904000).

253078481811456 is an abundant number, since it is smaller than the sum of its proper divisors (670218245996544).

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

253078481811456 is an frugal number, since it uses more digits than its factorization.

253078481811456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21571 (or 21522 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 253078481811456 in words is "two hundred fifty-three trillion, seventy-eight billion, four hundred eighty-one million, eight hundred eleven thousand, four hundred fifty-six".