20756377080 has 192 divisors, whose sum is σ = 68766796800. Its totient is φ = 5428684800.

The previous prime is 20756377079. The next prime is 20756377087. The reversal of 20756377080 is 8077365702.

20756377080 is a `hidden beast` number, since 2 + 0 + 7 + 5 + 637 + 7 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20756377087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4066530 + ... + 4071630.

It is an arithmetic number, because the mean of its divisors is an integer number (358160400).

Almost surely, 2^20756377080 is an apocalyptic number.

20756377080 is a gapful number since it is divisible by the number (20) 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 20756377080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34383398400).

20756377080 is an abundant number, since it is smaller than the sum of its proper divisors (48010419720).

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

20756377080 is a wasteful number, since it uses less digits than its factorization.

20756377080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 20756377080 in words is "twenty billion, seven hundred fifty-six million, three hundred seventy-seven thousand, eighty".