253540500205440 has 768 divisors, whose sum is σ = 954264489868800. Its totient is φ = 57080831754240.

The previous prime is 253540500205427. The next prime is 253540500205501. The reversal of 253540500205440 is 44502005045352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7140560167 + ... + 7140595673.

It is an arithmetic number, because the mean of its divisors is an integer number (1242531887850).

Almost surely, 2^{253540500205440} is an apocalyptic number.

253540500205440 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 253540500205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477132244934400).

253540500205440 is an abundant number, since it is smaller than the sum of its proper divisors (700723989663360).

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

253540500205440 is a wasteful number, since it uses less digits than its factorization.

253540500205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36683 (or 36664 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 39.

The spelling of 253540500205440 in words is "two hundred fifty-three trillion, five hundred forty billion, five hundred million, two hundred five thousand, four hundred forty".