2025849379008 has 672 divisors, whose sum is σ = 7007504351232. Its totient is φ = 504954777600.

The previous prime is 2025849378989. The next prime is 2025849379033. The reversal of 2025849379008 is 8009739485202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 302768943 + ... + 302775633.

It is an arithmetic number, because the mean of its divisors is an integer number (10427833856).

Almost surely, 2^{2025849379008} is an apocalyptic number.

2025849379008 is a gapful number since it is divisible by the number (28) 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 2025849379008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503752175616).

2025849379008 is an abundant number, since it is smaller than the sum of its proper divisors (4981654972224).

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

2025849379008 is a wasteful number, since it uses less digits than its factorization.

2025849379008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6813 (or 6790 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 2025849379008 in words is "two trillion, twenty-five billion, eight hundred forty-nine million, three hundred seventy-nine thousand, eight".