21869460889920 has 2352 divisors, whose sum is σ = 94780737137664. Its totient is φ = 4701133209600.

The previous prime is 21869460889891. The next prime is 21869460889921. The reversal of 21869460889920 is 2998806496812.

21869460889920 is a `hidden beast` number, since 2 + 1 + 8 + 6 + 9 + 4 + 608 + 8 + 9 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21869460889921) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 85095178432 + ... + 85095178688.

Almost surely, 2^{21869460889920} is an apocalyptic number.

21869460889920 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 21869460889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47390368568832).

21869460889920 is an abundant number, since it is smaller than the sum of its proper divisors (72911276247744).

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

21869460889920 is an equidigital number, since it uses as much as digits as its factorization.

21869460889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 21869460889920 in words is "twenty-one trillion, eight hundred sixty-nine billion, four hundred sixty million, eight hundred eighty-nine thousand, nine hundred twenty".