20085878292480 has 3648 divisors, whose sum is σ = 98804863100160. Its totient is φ = 3852635996160.

The previous prime is 20085878292437. The next prime is 20085878292481. The reversal of 20085878292480 is 8429287858002.

20085878292480 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 587 + 8 + 2 + 9 + 2 + 48 + 0 = 666.

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 (20085878292481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1545067560954 + ... + 1545067560966.

It is an arithmetic number, because the mean of its divisors is an integer number (27084666420).

Almost surely, 2^{20085878292480} is an apocalyptic number.

20085878292480 is a gapful number since it is divisible by the number (20) 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 20085878292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49402431550080).

20085878292480 is an abundant number, since it is smaller than the sum of its proper divisors (78718984807680).

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

20085878292480 is an frugal number, since it uses more digits than its factorization.

20085878292480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 20085878292480 in words is "twenty trillion, eighty-five billion, eight hundred seventy-eight million, two hundred ninety-two thousand, four hundred eighty".