25729138512 has 640 divisors, whose sum is σ = 98427985920. Its totient is φ = 6229647360.

The previous prime is 25729138507. The next prime is 25729138571. The reversal of 25729138512 is 21583192752.

25729138512 is a `hidden beast` number, since 257 + 2 + 9 + 1 + 385 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97829293 + ... + 97829555.

It is an arithmetic number, because the mean of its divisors is an integer number (153793728).

Almost surely, 2^25729138512 is an apocalyptic number.

25729138512 is a gapful number since it is divisible by the number (22) 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 25729138512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49213992960).

25729138512 is an abundant number, since it is smaller than the sum of its proper divisors (72698847408).

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

25729138512 is a wasteful number, since it uses less digits than its factorization.

25729138512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 476 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 25729138512 in words is "twenty-five billion, seven hundred twenty-nine million, one hundred thirty-eight thousand, five hundred twelve".