20887712352 has 288 divisors, whose sum is σ = 66901266432. Its totient is φ = 6372463104.

The previous prime is 20887712327. The next prime is 20887712381. The reversal of 20887712352 is 25321778802.

20887712352 is a `hidden beast` number, since 208 + 87 + 7 + 12 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 20887712298 and 20887712307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12837363 + ... + 12838989.

It is an arithmetic number, because the mean of its divisors is an integer number (232296064).

Almost surely, 2^20887712352 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 20887712352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33450633216).

20887712352 is an abundant number, since it is smaller than the sum of its proper divisors (46013554080).

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

20887712352 is a wasteful number, since it uses less digits than its factorization.

20887712352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 20887712352 in words is "twenty billion, eight hundred eighty-seven million, seven hundred twelve thousand, three hundred fifty-two".