27722645280000 has 5040 divisors, whose sum is σ = 126632481034752. Its totient is φ = 5971968000000.

The previous prime is 27722645279911. The next prime is 27722645280013. The reversal of 27722645280000 is 8254622772.

It is a super-2 number, since 2×27722645280000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 676162079980 + ... + 676162080020.

Almost surely, 2^{27722645280000} is an apocalyptic number.

27722645280000 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 27722645280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63316240517376).

27722645280000 is an abundant number, since it is smaller than the sum of its proper divisors (98909835754752).

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

27722645280000 is an equidigital number, since it uses as much as digits as its factorization.

27722645280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 27722645280000 in words is "twenty-seven trillion, seven hundred twenty-two billion, six hundred forty-five million, two hundred eighty thousand".