25480478100 has 288 divisors, whose sum is σ = 92240096256. Its totient is φ = 5275929600.

The previous prime is 25480478041. The next prime is 25480478159. The reversal of 25480478100 is 187408452.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25480478041) and next prime (25480478159).

It is a super-2 number, since 2×25480478100² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7089904 + ... + 7093496.

It is an arithmetic number, because the mean of its divisors is an integer number (320278112).

Almost surely, 2^25480478100 is an apocalyptic number.

25480478100 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 25480478100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46120048128).

25480478100 is an abundant number, since it is smaller than the sum of its proper divisors (66759618156).

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

25480478100 is a wasteful number, since it uses less digits than its factorization.

25480478100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 25480478100 in words is "twenty-five billion, four hundred eighty million, four hundred seventy-eight thousand, one hundred".