21507575125120 has 128 divisors (see below), whose sum is σ = 59007635827200. Its totient is φ = 7343171727360.

The previous prime is 21507575125111. The next prime is 21507575125121. The reversal of 21507575125120 is 2152157570512.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (21507575125121) 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 15 ways as a sum of consecutive naturals, for example, 8972791 + ... + 11114230.

It is an arithmetic number, because the mean of its divisors is an integer number (460997154900).

Almost surely, 2^{21507575125120} is an apocalyptic number.

21507575125120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21507575125120 is an abundant number, since it is smaller than the sum of its proper divisors (37500060702080).

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

21507575125120 is a wasteful number, since it uses less digits than its factorization.

21507575125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20087286 (or 20087274 counting only the distinct ones).

The product of its (nonzero) digits is 245000, while the sum is 43.

The spelling of 21507575125120 in words is "twenty-one trillion, five hundred seven billion, five hundred seventy-five million, one hundred twenty-five thousand, one hundred twenty".