20840815432800 has 864 divisors, whose sum is σ = 82825082855424. Its totient is φ = 4885318656000.

The previous prime is 20840815432799. The next prime is 20840815432807. The reversal of 20840815432800 is 823451804802.

20840815432800 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 0 + 81 + 543 + 28 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20840815432807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3847295692 + ... + 3847301108.

It is an arithmetic number, because the mean of its divisors is an integer number (95862364416).

Almost surely, 2^{20840815432800} is an apocalyptic number.

20840815432800 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 20840815432800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41412541427712).

20840815432800 is an abundant number, since it is smaller than the sum of its proper divisors (61984267422624).

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

20840815432800 is a wasteful number, since it uses less digits than its factorization.

20840815432800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7052 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 20840815432800 in words is "twenty trillion, eight hundred forty billion, eight hundred fifteen million, four hundred thirty-two thousand, eight hundred".