253221511440 has 80 divisors (see below), whose sum is σ = 785036504448. Its totient is φ = 67521451008.

The previous prime is 253221511397. The next prime is 253221511469. The reversal of 253221511440 is 44115122352.

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

It is a super-2 number, since 2×253221511440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 253221511398 and 253221511407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6067284 + ... + 6108876.

Almost surely, 2^253221511440 is an apocalyptic number.

253221511440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253221511440 is an abundant number, since it is smaller than the sum of its proper divisors (531814993008).

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

253221511440 is a wasteful number, since it uses less digits than its factorization.

253221511440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66976 (or 66970 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 253221511440 its reverse (44115122352), we get a palindrome (297336633792).

The spelling of 253221511440 in words is "two hundred fifty-three billion, two hundred twenty-one million, five hundred eleven thousand, four hundred forty".