34002550010000 has 300 divisors, whose sum is σ = 97448547604716. Its totient is φ = 11413438080000.

The previous prime is 34002550009999. The next prime is 34002550010141. The reversal of 34002550010000 is 1005520043.

It can be written as a sum of positive squares in 10 ways, for example, as 33970433069056 + 32116940944 = 5828416^2 + 179212^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14649182 + ... + 16810818.

Almost surely, 2^{34002550010000} 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 34002550010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48724273802358).

34002550010000 is an abundant number, since it is smaller than the sum of its proper divisors (63445997594716).

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

34002550010000 is a wasteful number, since it uses less digits than its factorization.

34002550010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161700 (or 2161668 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 34002550010000 its reverse (1005520043), we get a palindrome (34003555530043).

The spelling of 34002550010000 in words is "thirty-four trillion, two billion, five hundred fifty million, ten thousand".