22051315155600 has 720 divisors, whose sum is σ = 79388221685760. Its totient is φ = 5665471257600.

The previous prime is 22051315155587. The next prime is 22051315155601. The reversal of 22051315155600 is 655151315022.

22051315155600 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 1 + 31 + 5 + 15 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×22051315155600² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22051315155601) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2174895331 + ... + 2174905469.

It is an arithmetic number, because the mean of its divisors is an integer number (110261419008).

Almost surely, 2^{22051315155600} is an apocalyptic number.

22051315155600 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 22051315155600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39694110842880).

22051315155600 is an abundant number, since it is smaller than the sum of its proper divisors (57336906530160).

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

22051315155600 is a wasteful number, since it uses less digits than its factorization.

22051315155600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10428 (or 10414 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 22051315155600 in words is "twenty-two trillion, fifty-one billion, three hundred fifteen million, one hundred fifty-five thousand, six hundred".