25178628240 has 240 divisors, whose sum is σ = 92079374400. Its totient is φ = 6141477888.

The previous prime is 25178628191. The next prime is 25178628271. The reversal of 25178628240 is 4282687152.

25178628240 is a `hidden beast` number, since 2 + 5 + 17 + 8 + 628 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 364987 + ... + 428453.

It is an arithmetic number, because the mean of its divisors is an integer number (383664060).

Almost surely, 2^25178628240 is an apocalyptic number.

25178628240 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 25178628240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46039687200).

25178628240 is an abundant number, since it is smaller than the sum of its proper divisors (66900746160).

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

25178628240 is a wasteful number, since it uses less digits than its factorization.

25178628240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63534 (or 63525 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 25178628240 in words is "twenty-five billion, one hundred seventy-eight million, six hundred twenty-eight thousand, two hundred forty".