20776152384 has 672 divisors, whose sum is σ = 70828692480. Its totient is φ = 5772902400.

The previous prime is 20776152349. The next prime is 20776152401. The reversal of 20776152384 is 48325167702.

20776152384 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 615 + 23 + 8 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 352138147 + ... + 352138205.

It is an arithmetic number, because the mean of its divisors is an integer number (105399840).

Almost surely, 2^20776152384 is an apocalyptic number.

20776152384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20776152384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35414346240).

20776152384 is an abundant number, since it is smaller than the sum of its proper divisors (50052540096).

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

20776152384 is a wasteful number, since it uses less digits than its factorization.

20776152384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 20776152384 in words is "twenty billion, seven hundred seventy-six million, one hundred fifty-two thousand, three hundred eighty-four".