20688756480 has 864 divisors, whose sum is σ = 90037382400. Its totient is φ = 4473004032.

The previous prime is 20688756463. The next prime is 20688756547. The reversal of 20688756480 is 8465788602.

20688756480 is a `hidden beast` number, since 20 + 68 + 87 + 5 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32175039 + ... + 32175681.

Almost surely, 2^20688756480 is an apocalyptic number.

20688756480 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 20688756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45018691200).

20688756480 is an abundant number, since it is smaller than the sum of its proper divisors (69348625920).

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

20688756480 is a wasteful number, since it uses less digits than its factorization.

20688756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 20688756480 in words is "twenty billion, six hundred eighty-eight million, seven hundred fifty-six thousand, four hundred eighty".