253214143540000 has 240 divisors, whose sum is σ = 664403222980728. Its totient is φ = 94631837696000.

The previous prime is 253214143539991. The next prime is 253214143540003. The reversal of 253214143540000 is 45341412352.

It can be written as a sum of positive squares in 20 ways, for example, as 40931691292944 + 212282452247056 = 6397788^2 + 14569916^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (253214143540003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43861944 + ... + 49298056.

Almost surely, 2^{253214143540000} is an apocalyptic number.

253214143540000 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 253214143540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332201611490364).

253214143540000 is an abundant number, since it is smaller than the sum of its proper divisors (411189079440728).

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

253214143540000 is a wasteful number, since it uses less digits than its factorization.

253214143540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436297 (or 5436274 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 253214143540000 its reverse (45341412352), we get a palindrome (253259484952352).

The spelling of 253214143540000 in words is "two hundred fifty-three trillion, two hundred fourteen billion, one hundred forty-three million, five hundred forty thousand".