25241320348920 has 384 divisors, whose sum is σ = 93149784000000. Its totient is φ = 5876395858944.

The previous prime is 25241320348873. The next prime is 25241320348927. The reversal of 25241320348920 is 2984302314252.

25241320348920 is a `hidden beast` number, since 2 + 5 + 2 + 413 + 203 + 4 + 8 + 9 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25241320348927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53026131 + ... + 53500029.

It is an arithmetic number, because the mean of its divisors is an integer number (242577562500).

Almost surely, 2^{25241320348920} is an apocalyptic number.

25241320348920 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 25241320348920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46574892000000).

25241320348920 is an abundant number, since it is smaller than the sum of its proper divisors (67908463651080).

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

25241320348920 is a wasteful number, since it uses less digits than its factorization.

25241320348920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474547 (or 474540 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 25241320348920 in words is "twenty-five trillion, two hundred forty-one billion, three hundred twenty million, three hundred forty-eight thousand, nine hundred twenty".