21802150944 has 288 divisors, whose sum is σ = 75552341760. Its totient is φ = 6096093696.

The previous prime is 21802150933. The next prime is 21802150969. The reversal of 21802150944 is 44905120812.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×21802150944² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21802150899 and 21802150908.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1984314 + ... + 1995270.

It is an arithmetic number, because the mean of its divisors is an integer number (262334520).

Almost surely, 2^21802150944 is an apocalyptic number.

21802150944 is a gapful number since it is divisible by the number (24) 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 21802150944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37776170880).

21802150944 is an abundant number, since it is smaller than the sum of its proper divisors (53750190816).

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

21802150944 is a wasteful number, since it uses less digits than its factorization.

21802150944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11037 (or 11016 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 21802150944 in words is "twenty-one billion, eight hundred two million, one hundred fifty thousand, nine hundred forty-four".