20420568419328 has 1408 divisors, whose sum is σ = 80994385920000. Its totient is φ = 5024395837440.

The previous prime is 20420568419267. The next prime is 20420568419353. The reversal of 20420568419328 is 82391486502402.

20420568419328 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 0 + 568 + 41 + 9 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×20420568419328² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1981997025 + ... + 1982007327.

Almost surely, 2^{20420568419328} is an apocalyptic number.

20420568419328 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 20420568419328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40497192960000).

20420568419328 is an abundant number, since it is smaller than the sum of its proper divisors (60573817500672).

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

20420568419328 is a wasteful number, since it uses less digits than its factorization.

20420568419328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10383 (or 10345 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 20420568419328 in words is "twenty trillion, four hundred twenty billion, five hundred sixty-eight million, four hundred nineteen thousand, three hundred twenty-eight".