20289400851840 has 128 divisors (see below), whose sum is σ = 64697193681120. Its totient is φ = 5408438108160.

The previous prime is 20289400851809. The next prime is 20289400851913. The reversal of 20289400851840 is 4815800498202.

20289400851840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3005650 + ... + 7043630.

Almost surely, 2^{20289400851840} is an apocalyptic number.

20289400851840 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 20289400851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32348596840560).

20289400851840 is an abundant number, since it is smaller than the sum of its proper divisors (44407792829280).

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

20289400851840 is a wasteful number, since it uses less digits than its factorization.

20289400851840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4040620 (or 4040608 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 20289400851840 in words is "twenty trillion, two hundred eighty-nine billion, four hundred million, eight hundred fifty-one thousand, eight hundred forty".