21114362880 has 704 divisors, whose sum is σ = 83635507200. Its totient is φ = 5016453120.

The previous prime is 21114362873. The next prime is 21114362939. The reversal of 21114362880 is 8826341112.

21114362880 is a `hidden beast` number, since 2 + 11 + 14 + 3 + 628 + 8 + 0 = 666.

It is a super-3 number, since 3×21114362880³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55710531 + ... + 55710909.

Almost surely, 2^21114362880 is an apocalyptic number.

21114362880 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 21114362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41817753600).

21114362880 is an abundant number, since it is smaller than the sum of its proper divisors (62521144320).

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

21114362880 is a wasteful number, since it uses less digits than its factorization.

21114362880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 21114362880 in words is "twenty-one billion, one hundred fourteen million, three hundred sixty-two thousand, eight hundred eighty".