25149222010000 has 675 divisors, whose sum is σ = 69093854589837. Its totient is φ = 8858319360000.

The previous prime is 25149222009973. The next prime is 25149222010079. The reversal of 25149222010000 is 1022294152.

The square root of 25149222010000 is 5014900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 20380204629136 + 4769017380864 = 4514444^2 + 2183808^2 .

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 134 ways as a sum of consecutive naturals, for example, 259270329952 + ... + 259270330048.

Almost surely, 2^{25149222010000} is an apocalyptic number.

25149222010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25149222010000 is the 5014900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25149222010000

25149222010000 is an abundant number, since it is smaller than the sum of its proper divisors (43944632579837).

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

25149222010000 is an frugal number, since it uses more digits than its factorization.

25149222010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 25149222010000 in words is "twenty-five trillion, one hundred forty-nine billion, two hundred twenty-two million, ten thousand".