5654820085920 has 192 divisors, whose sum is σ = 20274599479680. Its totient is φ = 1471172659200.

The previous prime is 5654820085907. The next prime is 5654820085921. The reversal of 5654820085920 is 295800284565.

5654820085920 is a `hidden beast` number, since 5 + 6 + 5 + 48 + 2 + 0 + 0 + 8 + 592 + 0 = 666.

It is a super-3 number, since 3×5654820085920³ (a number of 39 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5654820085921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15786126 + ... + 16140365.

It is an arithmetic number, because the mean of its divisors is an integer number (105596872290).

Almost surely, 2^{5654820085920} is an apocalyptic number.

It is an amenable number.

5654820085920 is an abundant number, since it is smaller than the sum of its proper divisors (14619779393760).

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

5654820085920 is a wasteful number, since it uses less digits than its factorization.

5654820085920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31926556 (or 31926542 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 5654820085920 in words is "five trillion, six hundred fifty-four billion, eight hundred twenty million, eighty-five thousand, nine hundred twenty".