25152330010000 has 100 divisors (see below), whose sum is σ = 60900430071052. Its totient is φ = 10060250688000.

The previous prime is 25152330009971. The next prime is 25152330010061. The reversal of 25152330010000 is 1003325152.

It can be written as a sum of positive squares in 10 ways, for example, as 21365398441984 + 3786931568016 = 4622272^2 + 1946004^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 163253002 + ... + 163406998.

Almost surely, 2^{25152330010000} is an apocalyptic number.

25152330010000 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 25152330010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30450215035526).

25152330010000 is an abundant number, since it is smaller than the sum of its proper divisors (35748100061052).

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

25152330010000 is a wasteful number, since it uses less digits than its factorization.

25152330010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170358 (or 170337 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 25152330010000 its reverse (1003325152), we get a palindrome (25153333335152).

The spelling of 25152330010000 in words is "twenty-five trillion, one hundred fifty-two billion, three hundred thirty million, ten thousand".