252825804000 has 1152 divisors, whose sum is σ = 1126449192960. Its totient is φ = 52171776000.

The previous prime is 252825803999. The next prime is 252825804053. The reversal of 252825804000 is 408528252.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 618155796 + ... + 618156204.

It is an arithmetic number, because the mean of its divisors is an integer number (977820480).

Almost surely, 2^252825804000 is an apocalyptic number.

252825804000 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 252825804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563224596480).

252825804000 is an abundant number, since it is smaller than the sum of its proper divisors (873623388960).

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

252825804000 is a wasteful number, since it uses less digits than its factorization.

252825804000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 252825804000 in words is "two hundred fifty-two billion, eight hundred twenty-five million, eight hundred four thousand".