253320680601408 has 336 divisors, whose sum is σ = 786672143679744. Its totient is φ = 71729267097600.

The previous prime is 253320680601377. The next prime is 253320680601413. The reversal of 253320680601408 is 804106086023352.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×253320680601408³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 774462985 + ... + 774790007.

It is an arithmetic number, because the mean of its divisors is an integer number (2341286141904).

Almost surely, 2^{253320680601408} is an apocalyptic number.

253320680601408 is a gapful number since it is divisible by the number (28) 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 253320680601408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393336071839872).

253320680601408 is an abundant number, since it is smaller than the sum of its proper divisors (533351463078336).

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

253320680601408 is a wasteful number, since it uses less digits than its factorization.

253320680601408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327790 (or 327773 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 253320680601408 in words is "two hundred fifty-three trillion, three hundred twenty billion, six hundred eighty million, six hundred one thousand, four hundred eight".