253210350976 has 384 divisors, whose sum is σ = 608744160000. Its totient is φ = 103955005440.

The previous prime is 253210350971. The next prime is 253210350983. The reversal of 253210350976 is 679053012352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253210350971) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1272413725 + ... + 1272413923.

It is an arithmetic number, because the mean of its divisors is an integer number (1585271250).

Almost surely, 2^253210350976 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 253210350976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304372080000).

253210350976 is an abundant number, since it is smaller than the sum of its proper divisors (355533809024).

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

253210350976 is a wasteful number, since it uses less digits than its factorization.

253210350976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 43.

The spelling of 253210350976 in words is "two hundred fifty-three billion, two hundred ten million, three hundred fifty thousand, nine hundred seventy-six".