25779349112000 has 672 divisors, whose sum is σ = 74702136600000. Its totient is φ = 8780580864000.

The previous prime is 25779349111931. The next prime is 25779349112047. The reversal of 25779349112000 is 21194397752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 25779349112000.

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, 1636880126 + ... + 1636895874.

It is an arithmetic number, because the mean of its divisors is an integer number (111163893750).

Almost surely, 2^{25779349112000} is an apocalyptic number.

25779349112000 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 25779349112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37351068300000).

25779349112000 is an abundant number, since it is smaller than the sum of its proper divisors (48922787488000).

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

25779349112000 is a wasteful number, since it uses less digits than its factorization.

25779349112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15906 (or 15875 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 50.

The spelling of 25779349112000 in words is "twenty-five trillion, seven hundred seventy-nine billion, three hundred forty-nine million, one hundred twelve thousand".