253821793365504 has 2880 divisors, whose sum is σ = 968480588275200. Its totient is φ = 63354458603520.

The previous prime is 253821793365493. The next prime is 253821793365559. The reversal of 253821793365504 is 405563397128352.

253821793365504 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 2 + 1 + 7 + 93 + 36 + 5 + 504 = 666.

It is a super-2 number, since 2×253821793365504² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1315138825632 + ... + 1315138825824.

It is an arithmetic number, because the mean of its divisors is an integer number (336277982040).

It is a 1-persistent number, because it is pandigital, but 2⋅253821793365504 = 507643586731008 is not.

Almost surely, 2^{253821793365504} is an apocalyptic number.

253821793365504 is a gapful number since it is divisible by the number (24) 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 253821793365504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484240294137600).

253821793365504 is an abundant number, since it is smaller than the sum of its proper divisors (714658794909696).

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

253821793365504 is a wasteful number, since it uses less digits than its factorization.

253821793365504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 253821793365504 in words is "two hundred fifty-three trillion, eight hundred twenty-one billion, seven hundred ninety-three million, three hundred sixty-five thousand, five hundred four".