251504040324020 has 192 divisors, whose sum is σ = 583719306412032. Its totient is φ = 90266296320000.

The previous prime is 251504040323933. The next prime is 251504040324079. The reversal of 251504040324020 is 20423040405152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32743654580 + ... + 32743662260.

It is an arithmetic number, because the mean of its divisors is an integer number (3040204720896).

Almost surely, 2^{251504040324020} is an apocalyptic number.

251504040324020 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 251504040324020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291859653206016).

251504040324020 is an abundant number, since it is smaller than the sum of its proper divisors (332215266088012).

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

251504040324020 is a wasteful number, since it uses less digits than its factorization.

251504040324020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14062 (or 14060 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 251504040324020 its reverse (20423040405152), we get a palindrome (271927080729172).

The spelling of 251504040324020 in words is "two hundred fifty-one trillion, five hundred four billion, forty million, three hundred twenty-four thousand, twenty".