25277628012 has 96 divisors (see below), whose sum is σ = 72629835264. Its totient is φ = 6663168000.

The previous prime is 25277627941. The next prime is 25277628017. The reversal of 25277628012 is 21082677252.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (25277628017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2628012 + ... + 2637612.

It is an arithmetic number, because the mean of its divisors is an integer number (756560784).

Almost surely, 2^25277628012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25277628012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36314917632).

25277628012 is an abundant number, since it is smaller than the sum of its proper divisors (47352207252).

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

25277628012 is a wasteful number, since it uses less digits than its factorization.

25277628012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12039 (or 12037 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 25277628012 in words is "twenty-five billion, two hundred seventy-seven million, six hundred twenty-eight thousand, twelve".