253042545240240 has 80 divisors (see below), whose sum is σ = 896493588857088. Its totient is φ = 57838296054528.

The previous prime is 253042545240181. The next prime is 253042545240241. The reversal of 253042545240240 is 42042545240352.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 253042545240192 and 253042545240201.

It is not an unprimeable number, because it can be changed into a prime (253042545240241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75310279642 + ... + 75310283001.

Almost surely, 2^{253042545240240} is an apocalyptic number.

253042545240240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253042545240240 is an abundant number, since it is smaller than the sum of its proper divisors (643451043616848).

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

253042545240240 is a wasteful number, since it uses less digits than its factorization.

253042545240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150620562666 (or 150620562660 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 42.

The spelling of 253042545240240 in words is "two hundred fifty-three trillion, forty-two billion, five hundred forty-five million, two hundred forty thousand, two hundred forty".