1985627629128 has 192 divisors, whose sum is σ = 5879479046400. Its totient is φ = 553950109440.

The previous prime is 1985627629109. The next prime is 1985627629169. The reversal of 1985627629128 is 8219267265891.

It is a Cunningham number, because it is equal to 1409123²-1.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16850751 + ... + 16968177.

It is an arithmetic number, because the mean of its divisors is an integer number (30622286700).

Almost surely, 2^{1985627629128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1985627629128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939739523200).

1985627629128 is an abundant number, since it is smaller than the sum of its proper divisors (3893851417272).

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

1985627629128 is a wasteful number, since it uses less digits than its factorization.

1985627629128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117852 (or 117835 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 66.

The spelling of 1985627629128 in words is "one trillion, nine hundred eighty-five billion, six hundred twenty-seven million, six hundred twenty-nine thousand, one hundred twenty-eight".