20007514781352 has 256 divisors, whose sum is σ = 63974753280000. Its totient is φ = 5675282807040.

The previous prime is 20007514781291. The next prime is 20007514781377. The reversal of 20007514781352 is 25318741570002.

20007514781352 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 7 + 514 + 7 + 81 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20007514781298 and 20007514781307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119529174 + ... + 119696442.

It is an arithmetic number, because the mean of its divisors is an integer number (249901380000).

Almost surely, 2^{20007514781352} 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 20007514781352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31987376640000).

20007514781352 is an abundant number, since it is smaller than the sum of its proper divisors (43967238498648).

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

20007514781352 is a wasteful number, since it uses less digits than its factorization.

20007514781352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167861 (or 167851 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 20007514781352 in words is "twenty trillion, seven billion, five hundred fourteen million, seven hundred eighty-one thousand, three hundred fifty-two".