20412669057000 has 1024 divisors, whose sum is σ = 75591503769600. Its totient is φ = 4532613120000.

The previous prime is 20412669056977. The next prime is 20412669057023. The reversal of 20412669057000 is 75096621402.

It is an interprime number because it is at equal distance from previous prime (20412669056977) and next prime (20412669057023).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2904887487 + ... + 2904894513.

It is an arithmetic number, because the mean of its divisors is an integer number (73819827900).

Almost surely, 2^{20412669057000} is an apocalyptic number.

20412669057000 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 20412669057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37795751884800).

20412669057000 is an abundant number, since it is smaller than the sum of its proper divisors (55178834712600).

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

20412669057000 is a wasteful number, since it uses less digits than its factorization.

20412669057000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7235 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 20412669057000 in words is "twenty trillion, four hundred twelve billion, six hundred sixty-nine million, fifty-seven thousand".