253447578720 has 1536 divisors, whose sum is σ = 1102052044800. Its totient is φ = 53174403072.

The previous prime is 253447578661. The next prime is 253447578737. The reversal of 253447578720 is 27875744352.

It is a happy number.

253447578720 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 47 + 578 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2368668907 + ... + 2368669013.

It is an arithmetic number, because the mean of its divisors is an integer number (717481800).

Almost surely, 2^253447578720 is an apocalyptic number.

253447578720 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 253447578720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551026022400).

253447578720 is an abundant number, since it is smaller than the sum of its proper divisors (848604466080).

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

253447578720 is a wasteful number, since it uses less digits than its factorization.

253447578720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 54.

The spelling of 253447578720 in words is "two hundred fifty-three billion, four hundred forty-seven million, five hundred seventy-eight thousand, seven hundred twenty".