253677776352 has 768 divisors, whose sum is σ = 920310128640. Its totient is φ = 59065344000.

The previous prime is 253677776311. The next prime is 253677776381.

253677776352 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 572635843 + ... + 572636285.

It is an arithmetic number, because the mean of its divisors is an integer number (1198320480).

Almost surely, 2^253677776352 is an apocalyptic number.

253677776352 is a gapful number since it is divisible by the number (22) 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 253677776352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460155064320).

253677776352 is an abundant number, since it is smaller than the sum of its proper divisors (666632352288).

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

253677776352 is a wasteful number, since it uses less digits than its factorization.

253677776352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 639 counting only the distinct ones).

The product of its digits is 77792400, while the sum is 60.

The spelling of 253677776352 in words is "two hundred fifty-three billion, six hundred seventy-seven million, seven hundred seventy-six thousand, three hundred fifty-two".