20616453411840 has 2112 divisors, whose sum is σ = 89870754355200. Its totient is φ = 4295039385600.

The previous prime is 20616453411833. The next prime is 20616453411907. The reversal of 20616453411840 is 4811435461602.

20616453411840 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 64 + 534 + 1 + 18 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7386760845 + ... + 7386763635.

Almost surely, 2^{20616453411840} is an apocalyptic number.

20616453411840 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 20616453411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44935377177600).

20616453411840 is an abundant number, since it is smaller than the sum of its proper divisors (69254300943360).

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

20616453411840 is a wasteful number, since it uses less digits than its factorization.

20616453411840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 20616453411840 in words is "twenty trillion, six hundred sixteen billion, four hundred fifty-three million, four hundred eleven thousand, eight hundred forty".