253551613011200 has 864 divisors, whose sum is σ = 787398048299520. Its totient is φ = 78931191398400.

The previous prime is 253551613011133. The next prime is 253551613011259. The reversal of 253551613011200 is 2110316155352.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1563035696 + ... + 1563197904.

It is an arithmetic number, because the mean of its divisors is an integer number (911340333680).

Almost surely, 2^{253551613011200} is an apocalyptic number.

253551613011200 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 253551613011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393699024149760).

253551613011200 is an abundant number, since it is smaller than the sum of its proper divisors (533846435288320).

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

253551613011200 is a wasteful number, since it uses less digits than its factorization.

253551613011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162343 (or 162324 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

Adding to 253551613011200 its reverse (2110316155352), we get a palindrome (255661929166552).

The spelling of 253551613011200 in words is "two hundred fifty-three trillion, five hundred fifty-one billion, six hundred thirteen million, eleven thousand, two hundred".