20887260480 has 448 divisors, whose sum is σ = 77819097600. Its totient is φ = 5263441920.

The previous prime is 20887260467. The next prime is 20887260497. The reversal of 20887260480 is 8406278802.

It is a happy number.

20887260480 is a `hidden beast` number, since 20 + 88 + 72 + 6 + 0 + 480 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 17685490 + ... + 17686670.

Almost surely, 2^20887260480 is an apocalyptic number.

20887260480 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 20887260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38909548800).

20887260480 is an abundant number, since it is smaller than the sum of its proper divisors (56931837120).

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

20887260480 is a wasteful number, since it uses less digits than its factorization.

20887260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 20887260480 in words is "twenty billion, eight hundred eighty-seven million, two hundred sixty thousand, four hundred eighty".