21178150560 has 144 divisors (see below), whose sum is σ = 82594826496. Its totient is φ = 4840717824.

The previous prime is 21178150549. The next prime is 21178150561. The reversal of 21178150560 is 6505187112.

21178150560 is a `hidden beast` number, since 2 + 1 + 17 + 81 + 5 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×21178150560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21178150561) 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 23 ways as a sum of consecutive naturals, for example, 1040424 + ... + 1060583.

It is an arithmetic number, because the mean of its divisors is an integer number (573575184).

Almost surely, 2^21178150560 is an apocalyptic number.

21178150560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21178150560 is an abundant number, since it is smaller than the sum of its proper divisors (61416675936).

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

21178150560 is a wasteful number, since it uses less digits than its factorization.

21178150560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101035 (or 2101024 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 21178150560 in words is "twenty-one billion, one hundred seventy-eight million, one hundred fifty thousand, five hundred sixty".