20034177625760 has 192 divisors, whose sum is σ = 50266591200000. Its totient is φ = 7529196060672.

The previous prime is 20034177625741. The next prime is 20034177625793. The reversal of 20034177625760 is 6752677143002.

It is a junction number, because it is equal to n+sod(n) for n = 20034177625699 and 20034177625708.

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 31 ways as a sum of consecutive naturals, for example, 271145942 + ... + 271219818.

It is an arithmetic number, because the mean of its divisors is an integer number (261805162500).

Almost surely, 2^{20034177625760} is an apocalyptic number.

20034177625760 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 20034177625760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25133295600000).

20034177625760 is an abundant number, since it is smaller than the sum of its proper divisors (30232413574240).

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

20034177625760 is a wasteful number, since it uses less digits than its factorization.

20034177625760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75223 (or 75215 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 50.

The spelling of 20034177625760 in words is "twenty trillion, thirty-four billion, one hundred seventy-seven million, six hundred twenty-five thousand, seven hundred sixty".