253462634880 has 512 divisors, whose sum is σ = 1037602621440. Its totient is φ = 51151896576.

The previous prime is 253462634879. The next prime is 253462634881. The reversal of 253462634880 is 88436264352.

It is an interprime number because it is at equal distance from previous prime (253462634879) and next prime (253462634881).

It is a super-2 number, since 2×253462634880² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253462634881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3987024 + ... + 4050096.

It is an arithmetic number, because the mean of its divisors is an integer number (2026567620).

Almost surely, 2^253462634880 is an apocalyptic number.

253462634880 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 253462634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518801310720).

253462634880 is an abundant number, since it is smaller than the sum of its proper divisors (784139986560).

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

253462634880 is a wasteful number, since it uses less digits than its factorization.

253462634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63138 (or 63126 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 253462634880 in words is "two hundred fifty-three billion, four hundred sixty-two million, six hundred thirty-four thousand, eight hundred eighty".