20029781428488 has 384 divisors, whose sum is σ = 62010512928000. Its totient is φ = 5789875230720.

The previous prime is 20029781428487. The next prime is 20029781428499. The reversal of 20029781428488 is 88482418792002.

20029781428488 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 9 + 7 + 8 + 142 + 8 + 488 = 666.

It is a super-3 number, since 3×20029781428488³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20029781428487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1155577870 + ... + 1155595202.

It is an arithmetic number, because the mean of its divisors is an integer number (161485710750).

Almost surely, 2^{20029781428488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20029781428488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31005256464000).

20029781428488 is an abundant number, since it is smaller than the sum of its proper divisors (41980731499512).

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

20029781428488 is a wasteful number, since it uses less digits than its factorization.

20029781428488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17917 (or 17910 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 20029781428488 in words is "twenty trillion, twenty-nine billion, seven hundred eighty-one million, four hundred twenty-eight thousand, four hundred eighty-eight".