252026122007520 has 1152 divisors, whose sum is σ = 1012198225618944. Its totient is φ = 55915679711232.

The previous prime is 252026122007467. The next prime is 252026122007533. The reversal of 252026122007520 is 25700221620252.

252026122007520 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 2 + 6 + 122 + 0 + 0 + 7 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76071873384 + ... + 76071876696.

It is an arithmetic number, because the mean of its divisors is an integer number (878644293072).

Almost surely, 2^{252026122007520} is an apocalyptic number.

252026122007520 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 252026122007520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506099112809472).

252026122007520 is an abundant number, since it is smaller than the sum of its proper divisors (760172103611424).

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

252026122007520 is a wasteful number, since it uses less digits than its factorization.

252026122007520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5024 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 252026122007520 its reverse (25700221620252), we get a palindrome (277726343627772).

The spelling of 252026122007520 in words is "two hundred fifty-two trillion, twenty-six billion, one hundred twenty-two million, seven thousand, five hundred twenty".