20677531392 has 576 divisors, whose sum is σ = 77280860160. Its totient is φ = 5313724416.

The previous prime is 20677531387. The next prime is 20677531403. The reversal of 20677531392 is 29313577602.

20677531392 is a `hidden beast` number, since 20 + 6 + 7 + 7 + 531 + 3 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 18917598 + ... + 18918690.

It is an arithmetic number, because the mean of its divisors is an integer number (134168160).

Almost surely, 2^20677531392 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 20677531392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38640430080).

20677531392 is an abundant number, since it is smaller than the sum of its proper divisors (56603328768).

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

20677531392 is a wasteful number, since it uses less digits than its factorization.

20677531392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1145 counting only the distinct ones).

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

The spelling of 20677531392 in words is "twenty billion, six hundred seventy-seven million, five hundred thirty-one thousand, three hundred ninety-two".