253606074624 has 648 divisors, whose sum is σ = 893131686720. Its totient is φ = 68911718400.

The previous prime is 253606074593. The next prime is 253606074643. The reversal of 253606074624 is 426470606352.

253606074624 is a `hidden beast` number, since 2 + 5 + 36 + 0 + 607 + 4 + 6 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 253606074624.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 232452319 + ... + 232453409.

It is an arithmetic number, because the mean of its divisors is an integer number (1378289640).

Almost surely, 2^253606074624 is an apocalyptic number.

253606074624 is a gapful number since it is divisible by the number (24) 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 253606074624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446565843360).

253606074624 is an abundant number, since it is smaller than the sum of its proper divisors (639525612096).

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

253606074624 is a wasteful number, since it uses less digits than its factorization.

253606074624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 253606074624 in words is "two hundred fifty-three billion, six hundred six million, seventy-four thousand, six hundred twenty-four".