253611729040 has 20 divisors (see below), whose sum is σ = 589647270204. Its totient is φ = 101444691584.

The previous prime is 253611728969. The next prime is 253611729047. The reversal of 253611729040 is 40927116352.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 69234239376 + 184377489664 = 263124^2 + 429392^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 253611728984 and 253611729002.

It is not an unprimeable number, because it can be changed into a prime (253611729047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1585073227 + ... + 1585073386.

Almost surely, 2^253611729040 is an apocalyptic number.

253611729040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253611729040 is an abundant number, since it is smaller than the sum of its proper divisors (336035541164).

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

253611729040 is a wasteful number, since it uses less digits than its factorization.

253611729040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170146626 (or 3170146620 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 253611729040 in words is "two hundred fifty-three billion, six hundred eleven million, seven hundred twenty-nine thousand, forty".