21078767089800 has 2304 divisors, whose sum is σ = 91234874880000. Its totient is φ = 4446092851200.

The previous prime is 21078767089763. The next prime is 21078767089801. The reversal of 21078767089800 is 898076787012.

It is a super-2 number, since 2×21078767089800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (21078767089801) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 63682075635 + ... + 63682075965.

It is an arithmetic number, because the mean of its divisors is an integer number (39598470000).

Almost surely, 2^{21078767089800} is an apocalyptic number.

21078767089800 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 21078767089800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45617437440000).

21078767089800 is an abundant number, since it is smaller than the sum of its proper divisors (70156107790200).

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

21078767089800 is a wasteful number, since it uses less digits than its factorization.

21078767089800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 63.

The spelling of 21078767089800 in words is "twenty-one trillion, seventy-eight billion, seven hundred sixty-seven million, eighty-nine thousand, eight hundred".