20787338880 has 1024 divisors, whose sum is σ = 97293312000. Its totient is φ = 4060938240.

The previous prime is 20787338839. The next prime is 20787338893. The reversal of 20787338880 is 8883378702.

It is a happy number.

It is a super-2 number, since 2×20787338880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22619061 + ... + 22619979.

It is an arithmetic number, because the mean of its divisors is an integer number (95013000).

Almost surely, 2^20787338880 is an apocalyptic number.

20787338880 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 20787338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48646656000).

20787338880 is an abundant number, since it is smaller than the sum of its proper divisors (76505973120).

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

20787338880 is a wasteful number, since it uses less digits than its factorization.

20787338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

It can be divided in two parts, 207873 and 38880, that added together give a triangular number (246753 = T₇₀₂).

The spelling of 20787338880 in words is "twenty billion, seven hundred eighty-seven million, three hundred thirty-eight thousand, eight hundred eighty".