253155538080 has 864 divisors, whose sum is σ = 977181589440. Its totient is φ = 61196083200.

The previous prime is 253155538043. The next prime is 253155538081. The reversal of 253155538080 is 80835551352.

253155538080 is a `hidden beast` number, since 2 + 5 + 3 + 15 + 553 + 8 + 0 + 80 = 666.

253155538080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (253155538081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1199789175 + ... + 1199789385.

It is an arithmetic number, because the mean of its divisors is an integer number (1130997210).

Almost surely, 2^253155538080 is an apocalyptic number.

253155538080 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 253155538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488590794720).

253155538080 is an abundant number, since it is smaller than the sum of its proper divisors (724026051360).

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

253155538080 is a wasteful number, since it uses less digits than its factorization.

253155538080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 253155538080 in words is "two hundred fifty-three billion, one hundred fifty-five million, five hundred thirty-eight thousand, eighty".