25061208480 has 1152 divisors, whose sum is σ = 115211206656. Its totient is φ = 4805222400.

The previous prime is 25061208437. The next prime is 25061208509. The reversal of 25061208480 is 8480216052.

25061208480 is a `hidden beast` number, since 2 + 50 + 6 + 120 + 8 + 480 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79057282 + ... + 79057598.

It is an arithmetic number, because the mean of its divisors is an integer number (100009728).

Almost surely, 2^25061208480 is an apocalyptic number.

25061208480 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 25061208480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57605603328).

25061208480 is an abundant number, since it is smaller than the sum of its proper divisors (90149998176).

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

25061208480 is a wasteful number, since it uses less digits than its factorization.

25061208480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 25061208480 in words is "twenty-five billion, sixty-one million, two hundred eight thousand, four hundred eighty".