21890802288720 has 240 divisors, whose sum is σ = 72330275244672. Its totient is φ = 5475550233600.

The previous prime is 21890802288713. The next prime is 21890802288721. The reversal of 21890802288720 is 2788220809812.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21890802288721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7499829 + ... + 10001451.

Almost surely, 2^{21890802288720} is an apocalyptic number.

21890802288720 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 21890802288720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36165137622336).

21890802288720 is an abundant number, since it is smaller than the sum of its proper divisors (50439472955952).

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

21890802288720 is a wasteful number, since it uses less digits than its factorization.

21890802288720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501778 (or 2501753 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 57.

The spelling of 21890802288720 in words is "twenty-one trillion, eight hundred ninety billion, eight hundred two million, two hundred eighty-eight thousand, seven hundred twenty".