19790129674560 has 672 divisors, whose sum is σ = 75654758885760. Its totient is φ = 4365044662272.

The previous prime is 19790129674499. The next prime is 19790129674573. The reversal of 19790129674560 is 6547692109791.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×19790129674560² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19790129674491 and 19790129674500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3673680187 + ... + 3673685573.

Almost surely, 2^{19790129674560} is an apocalyptic number.

19790129674560 is a gapful number since it is divisible by the number (10) 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 19790129674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37827379442880).

19790129674560 is an abundant number, since it is smaller than the sum of its proper divisors (55864629211200).

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

19790129674560 is a wasteful number, since it uses less digits than its factorization.

19790129674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8143 (or 8126 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 66.

The spelling of 19790129674560 in words is "nineteen trillion, seven hundred ninety billion, one hundred twenty-nine million, six hundred seventy-four thousand, five hundred sixty".