253067742720 has 1440 divisors, whose sum is σ = 1048614446880. Its totient is φ = 58047528960.

The previous prime is 253067742713. The next prime is 253067742761. The reversal of 253067742720 is 27247760352.

253067742720 is a `hidden beast` number, since 2 + 5 + 306 + 7 + 74 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×253067742720² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4148651490 + ... + 4148651550.

It is an arithmetic number, because the mean of its divisors is an integer number (728204477).

Almost surely, 2^253067742720 is an apocalyptic number.

253067742720 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 253067742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524307223440).

253067742720 is an abundant number, since it is smaller than the sum of its proper divisors (795546704160).

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

253067742720 is an frugal number, since it uses more digits than its factorization.

253067742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 253067742720 in words is "two hundred fifty-three billion, sixty-seven million, seven hundred forty-two thousand, seven hundred twenty".