21547885480900 has 27 divisors (see below), whose sum is σ = 46759012224519. Its totient is φ = 8619135624480.

The previous prime is 21547885480843. The next prime is 21547885480907. The reversal of 21547885480900 is 908458874512.

It is a happy number.

The square root of 21547885480900 is 4641970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 121651673796 + 21426233807104 = 348786^2 + 4628848^2 .

It is a super-2 number, since 2×21547885480900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21547885480907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46187602 + ... + 46651798.

Almost surely, 2^{21547885480900} is an apocalyptic number.

21547885480900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21547885480900 is the 4641970-th square number.

It is an amenable number.

21547885480900 is an abundant number, since it is smaller than the sum of its proper divisors (25211126743619).

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

21547885480900 is an frugal number, since it uses more digits than its factorization.

21547885480900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928408 (or 464204 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 61.

The spelling of 21547885480900 in words is "twenty-one trillion, five hundred forty-seven billion, eight hundred eighty-five million, four hundred eighty thousand, nine hundred".