25730545104 has 640 divisors, whose sum is σ = 90851328000. Its totient is φ = 6880204800.

The previous prime is 25730545103. The next prime is 25730545117. The reversal of 25730545104 is 40154503752.

25730545104 is a `hidden beast` number, since 2 + 5 + 7 + 3 + 0 + 545 + 104 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25730545103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81168754 + ... + 81169070.

It is an arithmetic number, because the mean of its divisors is an integer number (141955200).

Almost surely, 2^25730545104 is an apocalyptic number.

25730545104 is a gapful number since it is divisible by the number (24) 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 25730545104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45425664000).

25730545104 is an abundant number, since it is smaller than the sum of its proper divisors (65120782896).

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

25730545104 is a wasteful number, since it uses less digits than its factorization.

25730545104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 25730545104 in words is "twenty-five billion, seven hundred thirty million, five hundred forty-five thousand, one hundred four".