20407169125980 has 576 divisors, whose sum is σ = 79036846586880. Its totient is φ = 4304143650816.

The previous prime is 20407169125979. The next prime is 20407169125991. The reversal of 20407169125980 is 8952196170402.

It is a happy number.

20407169125980 is a `hidden beast` number, since 2 + 0 + 40 + 7 + 1 + 6 + 9 + 1 + 2 + 598 + 0 = 666.

20407169125980 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20407169125980² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1568689716 + ... + 1568702724.

Almost surely, 2^{20407169125980} is an apocalyptic number.

20407169125980 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 20407169125980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39518423293440).

20407169125980 is an abundant number, since it is smaller than the sum of its proper divisors (58629677460900).

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

20407169125980 is a wasteful number, since it uses less digits than its factorization.

20407169125980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16600 (or 16586 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 20407169125980 in words is "twenty trillion, four hundred seven billion, one hundred sixty-nine million, one hundred twenty-five thousand, nine hundred eighty".