20677758528 has 336 divisors, whose sum is σ = 65405349504. Its totient is φ = 5746728960.

The previous prime is 20677758527. The next prime is 20677758551. The reversal of 20677758528 is 82585777602.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (20677758527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78622525 + ... + 78622787.

Almost surely, 2^20677758528 is an apocalyptic number.

20677758528 is a gapful number since it is divisible by the number (28) 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 20677758528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32702674752).

20677758528 is an abundant number, since it is smaller than the sum of its proper divisors (44727590976).

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

20677758528 is a wasteful number, since it uses less digits than its factorization.

20677758528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 57.

The spelling of 20677758528 in words is "twenty billion, six hundred seventy-seven million, seven hundred fifty-eight thousand, five hundred twenty-eight".