20429198635972 has 96 divisors (see below), whose sum is σ = 42396925132800. Its totient is φ = 8428656994560.

The previous prime is 20429198635969. The next prime is 20429198636009. The reversal of 20429198635972 is 27953689192402.

It is a junction number, because it is equal to n+sod(n) for n = 20429198635898 and 20429198635907.

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, 1206179088 + ... + 1206196024.

It is an arithmetic number, because the mean of its divisors is an integer number (441634636800).

It is a 1-persistent number, because it is pandigital, but 2⋅20429198635972 = 40858397271944 is not.

Almost surely, 2^{20429198635972} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20429198635972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21198462566400).

20429198635972 is an abundant number, since it is smaller than the sum of its proper divisors (21967726496828).

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

20429198635972 is a wasteful number, since it uses less digits than its factorization.

20429198635972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24161 (or 24159 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 67.

The spelling of 20429198635972 in words is "twenty trillion, four hundred twenty-nine billion, one hundred ninety-eight million, six hundred thirty-five thousand, nine hundred seventy-two".