21998769667875 has 768 divisors, whose sum is σ = 55257980424192. Its totient is φ = 8124862464000.

The previous prime is 21998769667859. The next prime is 21998769667883. The reversal of 21998769667875 is 57876696789912.

It is a happy number.

It is not a de Polignac number, because 21998769667875 - 2⁴ = 21998769667859 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 4041659904 + ... + 4041665346.

It is an arithmetic number, because the mean of its divisors is an integer number (71950495344).

Almost surely, 2^{21998769667875} is an apocalyptic number.

21998769667875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21998769667875 is an abundant number, since it is smaller than the sum of its proper divisors (33259210756317).

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

21998769667875 is a wasteful number, since it uses less digits than its factorization.

21998769667875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5629 (or 5616 counting only the distinct ones).

The product of its digits is 34566497280, while the sum is 90.

The spelling of 21998769667875 in words is "twenty-one trillion, nine hundred ninety-eight billion, seven hundred sixty-nine million, six hundred sixty-seven thousand, eight hundred seventy-five".