20128498536384 has 336 divisors, whose sum is σ = 68887620070560. Its totient is φ = 5746614128640.

The previous prime is 20128498536353. The next prime is 20128498536389. The reversal of 20128498536384 is 48363589482102.

20128498536384 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 8 + 4 + 98 + 536 + 3 + 8 + 4 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20128498536389) 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, 111761734 + ... + 111941690.

Almost surely, 2^{20128498536384} is an apocalyptic number.

20128498536384 is a gapful number since it is divisible by the number (24) 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 20128498536384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34443810035280).

20128498536384 is an abundant number, since it is smaller than the sum of its proper divisors (48759121534176).

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

20128498536384 is a wasteful number, since it uses less digits than its factorization.

20128498536384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181313 (or 181290 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 20128498536384 in words is "twenty trillion, one hundred twenty-eight billion, four hundred ninety-eight million, five hundred thirty-six thousand, three hundred eighty-four".