952142352000 has 512 divisors, whose sum is σ = 3643104591360. Its totient is φ = 215470080000.

The previous prime is 952142351987. The next prime is 952142352097. The reversal of 952142352000 is 253241259.

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, 33921972 + ... + 33950028.

It is an arithmetic number, because the mean of its divisors is an integer number (7115438655).

Almost surely, 2^952142352000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 952142352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821552295680).

952142352000 is an abundant number, since it is smaller than the sum of its proper divisors (2690962239360).

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

952142352000 is a wasteful number, since it uses less digits than its factorization.

952142352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28197 (or 28175 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 952142352000 its reverse (253241259), we get a palindrome (952395593259).

The spelling of 952142352000 in words is "nine hundred fifty-two billion, one hundred forty-two million, three hundred fifty-two thousand".