20280699952128 has 2112 divisors, whose sum is σ = 80926974443520. Its totient is φ = 4864831488000.

The previous prime is 20280699952067. The next prime is 20280699952133. The reversal of 20280699952128 is 82125999608202.

20280699952128 is a `hidden beast` number, since 2 + 0 + 2 + 80 + 6 + 9 + 9 + 9 + 521 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×20280699952128² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47054988073 + ... + 47054988503.

Almost surely, 2^{20280699952128} is an apocalyptic number.

20280699952128 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 20280699952128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40463487221760).

20280699952128 is an abundant number, since it is smaller than the sum of its proper divisors (60646274491392).

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

20280699952128 is a wasteful number, since it uses less digits than its factorization.

20280699952128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 20280699952128 in words is "twenty trillion, two hundred eighty billion, six hundred ninety-nine million, nine hundred fifty-two thousand, one hundred twenty-eight".