25973529120 has 768 divisors, whose sum is σ = 114507509760. Its totient is φ = 5341593600.

The previous prime is 25973529119. The next prime is 25973529121. The reversal of 25973529120 is 2192537952.

25973529120 is a `hidden beast` number, since 2 + 59 + 73 + 529 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25973529119) and next prime (25973529121).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25973529121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37587975 + ... + 37588665.

It is an arithmetic number, because the mean of its divisors is an integer number (149098320).

Almost surely, 2^25973529120 is an apocalyptic number.

25973529120 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 25973529120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57253754880).

25973529120 is an abundant number, since it is smaller than the sum of its proper divisors (88533980640).

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

25973529120 is a wasteful number, since it uses less digits than its factorization.

25973529120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 25973529120 in words is "twenty-five billion, nine hundred seventy-three million, five hundred twenty-nine thousand, one hundred twenty".