20807084187360 has 240 divisors, whose sum is σ = 74994046053696. Its totient is φ = 5430501245952.

The previous prime is 20807084187347. The next prime is 20807084187371. The reversal of 20807084187360 is 6378148070802.

It is a happy number.

20807084187360 is a `hidden beast` number, since 20 + 8 + 0 + 7 + 0 + 84 + 187 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 20807084187297 and 20807084187306.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 16470507 + ... + 17688746.

Almost surely, 2^{20807084187360} is an apocalyptic number.

20807084187360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20807084187360 is an abundant number, since it is smaller than the sum of its proper divisors (54186961866336).

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

20807084187360 is a wasteful number, since it uses less digits than its factorization.

20807084187360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34159327 (or 34159310 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 20807084187360 in words is "twenty trillion, eight hundred seven billion, eighty-four million, one hundred eighty-seven thousand, three hundred sixty".