120025673989056 has 448 divisors, whose sum is σ = 393201258117120. Its totient is φ = 35590275072000.

The previous prime is 120025673989051. The next prime is 120025673989063. The reversal of 120025673989056 is 650989376520021.

120025673989056 is a `hidden beast` number, since 1 + 200 + 256 + 7 + 3 + 98 + 90 + 5 + 6 = 666.

It is a super-2 number, since 2×120025673989056² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120025673988984 and 120025673989002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120025673989051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5682754176 + ... + 5682775296.

Almost surely, 2^{120025673989056} is an apocalyptic number.

120025673989056 is a gapful number since it is divisible by the number (16) 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 120025673989056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196600629058560).

120025673989056 is an abundant number, since it is smaller than the sum of its proper divisors (273175584128064).

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

120025673989056 is a wasteful number, since it uses less digits than its factorization.

120025673989056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27561 (or 27545 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 120025673989056 in words is "one hundred twenty trillion, twenty-five billion, six hundred seventy-three million, nine hundred eighty-nine thousand, fifty-six".