20306806088940 has 540 divisors, whose sum is σ = 75714600798144. Its totient is φ = 4542759946368.

The previous prime is 20306806088911. The next prime is 20306806088977. The reversal of 20306806088940 is 4988060860302.

20306806088940 is a `hidden beast` number, since 20 + 3 + 0 + 6 + 8 + 0 + 608 + 8 + 9 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 175292517 + ... + 175408323.

Almost surely, 2^{20306806088940} is an apocalyptic number.

20306806088940 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 20306806088940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37857300399072).

20306806088940 is an abundant number, since it is smaller than the sum of its proper divisors (55407794709204).

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

20306806088940 is a wasteful number, since it uses less digits than its factorization.

20306806088940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115936 (or 115871 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 20306806088940 in words is "twenty trillion, three hundred six billion, eight hundred six million, eighty-eight thousand, nine hundred forty".