25802930160 has 640 divisors, whose sum is σ = 105293260800. Its totient is φ = 5685534720.

The previous prime is 25802930147. The next prime is 25802930173. The reversal of 25802930160 is 6103920852.

It is an interprime number because it is at equal distance from previous prime (25802930147) and next prime (25802930173).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66331246 + ... + 66331634.

It is an arithmetic number, because the mean of its divisors is an integer number (164520720).

Almost surely, 2^25802930160 is an apocalyptic number.

25802930160 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 25802930160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52646630400).

25802930160 is an abundant number, since it is smaller than the sum of its proper divisors (79490330640).

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

25802930160 is a wasteful number, since it uses less digits than its factorization.

25802930160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 25802930160 in words is "twenty-five billion, eight hundred two million, nine hundred thirty thousand, one hundred sixty".