25106066720000 has 360 divisors, whose sum is σ = 73877376072192. Its totient is φ = 8330112000000.

The previous prime is 25106066719931. The next prime is 25106066720017. The reversal of 25106066720000 is 2766060152.

It is a super-2 number, since 2×25106066720000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34358450 + ... + 35081550.

Almost surely, 2^{25106066720000} is an apocalyptic number.

25106066720000 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 25106066720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36938688036096).

25106066720000 is an abundant number, since it is smaller than the sum of its proper divisors (48771309352192).

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

25106066720000 is an frugal number, since it uses more digits than its factorization.

25106066720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723175 (or 723146 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 25106066720000 in words is "twenty-five trillion, one hundred six billion, sixty-six million, seven hundred twenty thousand".