253142547840 has 1536 divisors, whose sum is σ = 1153688739840. Its totient is φ = 51597803520.

The previous prime is 253142547821. The next prime is 253142547841. The reversal of 253142547840 is 48745241352.

253142547840 is a `hidden beast` number, since 2 + 5 + 314 + 254 + 7 + 84 + 0 = 666.

253142547840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253142547840² (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 not an unprimeable number, because it can be changed into a prime (253142547841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 438721632 + ... + 438722208.

It is an arithmetic number, because the mean of its divisors is an integer number (751099440).

Almost surely, 2^253142547840 is an apocalyptic number.

253142547840 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 253142547840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576844369920).

253142547840 is an abundant number, since it is smaller than the sum of its proper divisors (900546192000).

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

253142547840 is a wasteful number, since it uses less digits than its factorization.

253142547840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 253142547840 in words is "two hundred fifty-three billion, one hundred forty-two million, five hundred forty-seven thousand, eight hundred forty".