20058125472000 has 1728 divisors, whose sum is σ = 92994262233600. Its totient is φ = 4167770112000.

The previous prime is 20058125471963. The next prime is 20058125472029. The reversal of 20058125472000 is 27452185002.

It is a happy number.

20058125472000 is a `hidden beast` number, since 2 + 0 + 0 + 581 + 2 + 5 + 4 + 72 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 731794296 + ... + 731821704.

Almost surely, 2^{20058125472000} is an apocalyptic number.

20058125472000 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 20058125472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46497131116800).

20058125472000 is an abundant number, since it is smaller than the sum of its proper divisors (72936136761600).

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

20058125472000 is a wasteful number, since it uses less digits than its factorization.

20058125472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27478 (or 27437 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 20058125472000 in words is "twenty trillion, fifty-eight billion, one hundred twenty-five million, four hundred seventy-two thousand".