22209151380480 has 1760 divisors, whose sum is σ = 87531777349632. Its totient is φ = 5360438476800.

The previous prime is 22209151380469. The next prime is 22209151380487. The reversal of 22209151380480 is 8408315190222.

22209151380480 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 91 + 5 + 1 + 3 + 80 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22209151380487) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67097133915 + ... + 67097134245.

Almost surely, 2^{22209151380480} is an apocalyptic number.

22209151380480 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 22209151380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43765888674816).

22209151380480 is an abundant number, since it is smaller than the sum of its proper divisors (65322625969152).

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

22209151380480 is a wasteful number, since it uses less digits than its factorization.

22209151380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 22209151380480 in words is "twenty-two trillion, two hundred nine billion, one hundred fifty-one million, three hundred eighty thousand, four hundred eighty".