253504411345440 has 72 divisors (see below), whose sum is σ = 865083803721228. Its totient is φ = 67601176358400.

The previous prime is 253504411345397. The next prime is 253504411345489. The reversal of 253504411345440 is 44543114405352.

253504411345440 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 0 + 44 + 113 + 454 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 253454169019536 + 50242325904 = 15920244^2 + 224148^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88022363611 + ... + 88022366490.

Almost surely, 2^{253504411345440} is an apocalyptic number.

253504411345440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253504411345440 is an abundant number, since it is smaller than the sum of its proper divisors (611579392375788).

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

253504411345440 is a wasteful number, since it uses less digits than its factorization.

253504411345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176044730122 (or 176044730111 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 253504411345440 in words is "two hundred fifty-three trillion, five hundred four billion, four hundred eleven million, three hundred forty-five thousand, four hundred forty".