20125461054006 has 192 divisors, whose sum is σ = 55885535387136. Its totient is φ = 5081435596800.

The previous prime is 20125461053917. The next prime is 20125461054019. The reversal of 20125461054006 is 60045016452102.

20125461054006 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 54 + 61 + 0 + 540 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55768806 + ... + 56128518.

It is an arithmetic number, because the mean of its divisors is an integer number (291070496808).

Almost surely, 2^{20125461054006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20125461054006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27942767693568).

20125461054006 is an abundant number, since it is smaller than the sum of its proper divisors (35760074333130).

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

20125461054006 is a wasteful number, since it uses less digits than its factorization.

20125461054006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360867 (or 360864 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 20125461054006 in words is "twenty trillion, one hundred twenty-five billion, four hundred sixty-one million, fifty-four thousand, six".