20894881413120 has 1536 divisors, whose sum is σ = 84937016586240. Its totient is φ = 4306375802880.

The previous prime is 20894881413113. The next prime is 20894881413151. The reversal of 20894881413120 is 2131418849802.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 3509972064 + ... + 3509978016.

It is an arithmetic number, because the mean of its divisors is an integer number (55297536840).

Almost surely, 2^{20894881413120} is an apocalyptic number.

20894881413120 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 20894881413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42468508293120).

20894881413120 is an abundant number, since it is smaller than the sum of its proper divisors (64042135173120).

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

20894881413120 is a wasteful number, since it uses less digits than its factorization.

20894881413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6071 (or 6051 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 20894881413120 in words is "twenty trillion, eight hundred ninety-four billion, eight hundred eighty-one million, four hundred thirteen thousand, one hundred twenty".