25138121760 has 288 divisors, whose sum is σ = 90487575360. Its totient is φ = 6337419264.

The previous prime is 25138121753. The next prime is 25138121803. The reversal of 25138121760 is 6712183152.

25138121760 is a `hidden beast` number, since 2 + 5 + 1 + 381 + 217 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24815014 + ... + 24816026.

It is an arithmetic number, because the mean of its divisors is an integer number (314192970).

Almost surely, 2^25138121760 is an apocalyptic number.

25138121760 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 25138121760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45243787680).

25138121760 is an abundant number, since it is smaller than the sum of its proper divisors (65349453600).

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

25138121760 is a wasteful number, since it uses less digits than its factorization.

25138121760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 25138121760 in words is "twenty-five billion, one hundred thirty-eight million, one hundred twenty-one thousand, seven hundred sixty".