252004555040 has 192 divisors, whose sum is σ = 699794774784. Its totient is φ = 83946958848.

The previous prime is 252004555031. The next prime is 252004555043. The reversal of 252004555040 is 40555400252.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 252004554988 and 252004555006.

It is not an unprimeable number, because it can be changed into a prime (252004555043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32029187 + ... + 32037053.

It is an arithmetic number, because the mean of its divisors is an integer number (3644764452).

Almost surely, 2^252004555040 is an apocalyptic number.

252004555040 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 252004555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349897387392).

252004555040 is an abundant number, since it is smaller than the sum of its proper divisors (447790219744).

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

252004555040 is a wasteful number, since it uses less digits than its factorization.

252004555040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8699 (or 8691 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 32.

Adding to 252004555040 its reverse (40555400252), we get a palindrome (292559955292).

The spelling of 252004555040 in words is "two hundred fifty-two billion, four million, five hundred fifty-five thousand, forty".