20107903076352 has 1440 divisors, whose sum is σ = 75326021971200. Its totient is φ = 5232017276928.

The previous prime is 20107903076267. The next prime is 20107903076399. The reversal of 20107903076352 is 25367030970102.

20107903076352 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 7 + 9 + 0 + 3 + 0 + 7 + 635 + 2 = 666.

It is a super-2 number, since 2×20107903076352² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20107903076298 and 20107903076307.

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 119 ways as a sum of consecutive naturals, for example, 15503394168 + ... + 15503395464.

It is an arithmetic number, because the mean of its divisors is an integer number (52309737480).

Almost surely, 2^{20107903076352} 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 20107903076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37663010985600).

20107903076352 is an abundant number, since it is smaller than the sum of its proper divisors (55218118894848).

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

20107903076352 is a wasteful number, since it uses less digits than its factorization.

20107903076352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 20107903076352 in words is "twenty trillion, one hundred seven billion, nine hundred three million, seventy-six thousand, three hundred fifty-two".