22790951820 has 576 divisors, whose sum is σ = 90984391680. Its totient is φ = 4483454976.

The previous prime is 22790951797. The next prime is 22790951837. The reversal of 22790951820 is 2815909722.

It is a happy number.

22790951820 is a `hidden beast` number, since 2 + 27 + 90 + 9 + 518 + 20 = 666.

It is a super-2 number, since 2×22790951820² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20851194 + ... + 20852286.

Almost surely, 2^22790951820 is an apocalyptic number.

22790951820 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 22790951820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45492195840).

22790951820 is an abundant number, since it is smaller than the sum of its proper divisors (68193439860).

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

22790951820 is a wasteful number, since it uses less digits than its factorization.

22790951820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 22790951820 in words is "twenty-two billion, seven hundred ninety million, nine hundred fifty-one thousand, eight hundred twenty".