25677542000 has 160 divisors (see below), whose sum is σ = 67897440000. Its totient is φ = 9314592000.

The previous prime is 25677541979. The next prime is 25677542047. The reversal of 25677542000 is 24577652.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10976831 + ... + 10979169.

It is an arithmetic number, because the mean of its divisors is an integer number (424359000).

Almost surely, 2^25677542000 is an apocalyptic number.

25677542000 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 25677542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33948720000).

25677542000 is an abundant number, since it is smaller than the sum of its proper divisors (42219898000).

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

25677542000 is a wasteful number, since it uses less digits than its factorization.

25677542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

The spelling of 25677542000 in words is "twenty-five billion, six hundred seventy-seven million, five hundred forty-two thousand".