1627989426000 has 1080 divisors, whose sum is σ = 6982166476584. Its totient is φ = 352458086400.

The previous prime is 1627989425941. The next prime is 1627989426097. The reversal of 1627989426000 is 6249897261.

1627989426000 is a `hidden beast` number, since 1 + 6 + 27 + 9 + 8 + 9 + 4 + 2 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 453618414144 + 1174371011856 = 673512^2 + 1083684^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 318399444 + ... + 318404556.

Almost surely, 2^{1627989426000} is an apocalyptic number.

1627989426000 is a gapful number since it is divisible by the number (10) 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 1627989426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491083238292).

1627989426000 is an abundant number, since it is smaller than the sum of its proper divisors (5354177050584).

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

1627989426000 is a wasteful number, since it uses less digits than its factorization.

1627989426000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1627989426000 in words is "one trillion, six hundred twenty-seven billion, nine hundred eighty-nine million, four hundred twenty-six thousand".