25101442080 has 768 divisors, whose sum is σ = 104248166400. Its totient is φ = 5561118720.

The previous prime is 25101442057. The next prime is 25101442099. The reversal of 25101442080 is 8024410152.

25101442080 is a `hidden beast` number, since 2 + 510 + 144 + 2 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 110578927 + ... + 110579153.

It is an arithmetic number, because the mean of its divisors is an integer number (135739800).

Almost surely, 2^25101442080 is an apocalyptic number.

25101442080 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 25101442080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52124083200).

25101442080 is an abundant number, since it is smaller than the sum of its proper divisors (79146724320).

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

25101442080 is a wasteful number, since it uses less digits than its factorization.

25101442080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 25101442080 in words is "twenty-five billion, one hundred one million, four hundred forty-two thousand, eighty".