21875955120 has 200 divisors, whose sum is σ = 78599054160. Its totient is φ = 5632381440.

The previous prime is 21875955107. The next prime is 21875955151. The reversal of 21875955120 is 2155957812.

21875955120 is a `hidden beast` number, since 2 + 1 + 8 + 7 + 595 + 51 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 129715 + ... + 246125.

Almost surely, 2^21875955120 is an apocalyptic number.

21875955120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21875955120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39299527080).

21875955120 is an abundant number, since it is smaller than the sum of its proper divisors (56723099040).

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

21875955120 is a wasteful number, since it uses less digits than its factorization.

21875955120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116465 (or 116450 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 21875955120 in words is "twenty-one billion, eight hundred seventy-five million, nine hundred fifty-five thousand, one hundred twenty".