22778740465200 has 180 divisors, whose sum is σ = 79090032465288. Its totient is φ = 6071143680000.

The previous prime is 22778740465199. The next prime is 22778740465219. The reversal of 22778740465200 is 256404787722.

22778740465200 is a `hidden beast` number, since 2 + 2 + 7 + 7 + 8 + 74 + 0 + 46 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×22778740465200² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5206200 + ... + 8524200.

Almost surely, 2^{22778740465200} is an apocalyptic number.

22778740465200 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 22778740465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39545016232644).

22778740465200 is an abundant number, since it is smaller than the sum of its proper divisors (56311292000088).

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

22778740465200 is a wasteful number, since it uses less digits than its factorization.

22778740465200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319932 (or 3319918 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 22778740465200 in words is "twenty-two trillion, seven hundred seventy-eight billion, seven hundred forty million, four hundred sixty-five thousand, two hundred".