1220528627010 has 576 divisors, whose sum is σ = 4272803758080. Its totient is φ = 238353373440.

The previous prime is 1220528626997. The next prime is 1220528627027. The reversal of 1220528627010 is 107268250221.

It is a happy number.

1220528627010 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 5 + 28 + 627 + 0 + 1 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 117049417 + ... + 117059843.

It is an arithmetic number, because the mean of its divisors is an integer number (7418062080).

Almost surely, 2^{1220528627010} is an apocalyptic number.

1220528627010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220528627010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136401879040).

1220528627010 is an abundant number, since it is smaller than the sum of its proper divisors (3052275131070).

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

1220528627010 is a wasteful number, since it uses less digits than its factorization.

1220528627010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10611 (or 10601 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1220528627010 in words is "one trillion, two hundred twenty billion, five hundred twenty-eight million, six hundred twenty-seven thousand, ten".