22778451118080 has 1152 divisors, whose sum is σ = 96277430995200. Its totient is φ = 4864717357056.

The previous prime is 22778451118069. The next prime is 22778451118097. The reversal of 22778451118080 is 8081115487722.

22778451118080 is a `hidden beast` number, since 2 + 2 + 7 + 7 + 8 + 451 + 1 + 180 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×22778451118080³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 894768712 + ... + 894794168.

It is an arithmetic number, because the mean of its divisors is an integer number (83574158850).

Almost surely, 2^{22778451118080} is an apocalyptic number.

22778451118080 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 22778451118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48138715497600).

22778451118080 is an abundant number, since it is smaller than the sum of its proper divisors (73498979877120).

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

22778451118080 is a wasteful number, since it uses less digits than its factorization.

22778451118080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25589 (or 25566 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 54.

The spelling of 22778451118080 in words is "twenty-two trillion, seven hundred seventy-eight billion, four hundred fifty-one million, one hundred eighteen thousand, eighty".