25101266580 has 240 divisors, whose sum is σ = 85172693760. Its totient is φ = 6151686912.

The previous prime is 25101266579. The next prime is 25101266599. The reversal of 25101266580 is 8566210152.

25101266580 is a `hidden beast` number, since 2 + 5 + 1 + 0 + 12 + 66 + 580 = 666.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5030847 + ... + 5035833.

It is an arithmetic number, because the mean of its divisors is an integer number (354886224).

Almost surely, 2^25101266580 is an apocalyptic number.

25101266580 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 25101266580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42586346880).

25101266580 is an abundant number, since it is smaller than the sum of its proper divisors (60071427180).

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

25101266580 is a wasteful number, since it uses less digits than its factorization.

25101266580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5260 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 25101266580 in words is "twenty-five billion, one hundred one million, two hundred sixty-six thousand, five hundred eighty".