25280040633120 has 2304 divisors, whose sum is σ = 113896059863040. Its totient is φ = 4960478527488.

The previous prime is 25280040633119. The next prime is 25280040633137. The reversal of 25280040633120 is 2133604008252.

25280040633120 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 0 + 0 + 4 + 0 + 633 + 12 + 0 = 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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25356108462 + ... + 25356109458.

It is an arithmetic number, because the mean of its divisors is an integer number (49434053760).

Almost surely, 2^{25280040633120} is an apocalyptic number.

25280040633120 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 25280040633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56948029931520).

25280040633120 is an abundant number, since it is smaller than the sum of its proper divisors (88616019229920).

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

25280040633120 is a wasteful number, since it uses less digits than its factorization.

25280040633120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 25280040633120 in words is "twenty-five trillion, two hundred eighty billion, forty million, six hundred thirty-three thousand, one hundred twenty".