25281956578060 has 192 divisors, whose sum is σ = 67631477760000. Its totient is φ = 7721517984768.

The previous prime is 25281956578009. The next prime is 25281956578127. The reversal of 25281956578060 is 6087565918252.

It is a super-2 number, since 2×25281956578060² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25281956577983 and 25281956578001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105387409 + ... + 105627031.

It is an arithmetic number, because the mean of its divisors is an integer number (352247280000).

Almost surely, 2^{25281956578060} is an apocalyptic number.

25281956578060 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 25281956578060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33815738880000).

25281956578060 is an abundant number, since it is smaller than the sum of its proper divisors (42349521181940).

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

25281956578060 is a wasteful number, since it uses less digits than its factorization.

25281956578060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241680 (or 241678 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 64.

The spelling of 25281956578060 in words is "twenty-five trillion, two hundred eighty-one billion, nine hundred fifty-six million, five hundred seventy-eight thousand, sixty".