253891996646400 has 2640 divisors, whose sum is σ = 1146569992085760. Its totient is φ = 54220691865600.

The previous prime is 253891996646369. The next prime is 253891996646417. The reversal of 253891996646400 is 4646699198352.

253891996646400 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 91 + 9 + 96 + 6 + 46 + 400 = 666.

It is a super-4 number, since 4×253891996646400⁴ (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20132576095 + ... + 20132588705.

It is an arithmetic number, because the mean of its divisors is an integer number (434306815184).

Almost surely, 2^{253891996646400} is an apocalyptic number.

253891996646400 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 253891996646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573284996042880).

253891996646400 is an abundant number, since it is smaller than the sum of its proper divisors (892677995439360).

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

253891996646400 is a wasteful number, since it uses less digits than its factorization.

253891996646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12752 (or 12720 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 72.

The spelling of 253891996646400 in words is "two hundred fifty-three trillion, eight hundred ninety-one billion, nine hundred ninety-six million, six hundred forty-six thousand, four hundred".