20531009619456 has 320 divisors, whose sum is σ = 62669918868480. Its totient is φ = 5850981826560.

The previous prime is 20531009619443. The next prime is 20531009619469. The reversal of 20531009619456 is 65491690013502.

It is an interprime number because it is at equal distance from previous prime (20531009619443) and next prime (20531009619469).

It is a junction number, because it is equal to n+sod(n) for n = 20531009619399 and 20531009619408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10118781450 + ... + 10118783478.

It is an arithmetic number, because the mean of its divisors is an integer number (195843496464).

Almost surely, 2^{20531009619456} 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 20531009619456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31334959434240).

20531009619456 is an abundant number, since it is smaller than the sum of its proper divisors (42138909249024).

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

20531009619456 is a wasteful number, since it uses less digits than its factorization.

20531009619456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 20531009619456 in words is "twenty trillion, five hundred thirty-one billion, nine million, six hundred nineteen thousand, four hundred fifty-six".