20892034677120 has 256 divisors, whose sum is σ = 70450551360000. Its totient is φ = 5251463331840.

The previous prime is 20892034677119. The next prime is 20892034677161. The reversal of 20892034677120 is 2177643029802.

It is a super-2 number, since 2×20892034677120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5820580 + ... + 8698460.

It is an arithmetic number, because the mean of its divisors is an integer number (275197466250).

Almost surely, 2^{20892034677120} is an apocalyptic number.

20892034677120 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 20892034677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35225275680000).

20892034677120 is an abundant number, since it is smaller than the sum of its proper divisors (49558516682880).

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

20892034677120 is a wasteful number, since it uses less digits than its factorization.

20892034677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878121 (or 2878109 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 20892034677120 in words is "twenty trillion, eight hundred ninety-two billion, thirty-four million, six hundred seventy-seven thousand, one hundred twenty".