2027671435000 has 160 divisors (see below), whose sum is σ = 4798305800640. Its totient is φ = 802980864000.

The previous prime is 2027671434991. The next prime is 2027671435043. The reversal of 2027671435000 is 5341767202.

It is a happy number.

It is a super-2 number, since 2×2027671435000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 732803617 + ... + 732806383.

It is an arithmetic number, because the mean of its divisors is an integer number (29989411254).

Almost surely, 2^{2027671435000} is an apocalyptic number.

2027671435000 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 2027671435000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399152900320).

2027671435000 is an abundant number, since it is smaller than the sum of its proper divisors (2770634365640).

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

2027671435000 is a wasteful number, since it uses less digits than its factorization.

2027671435000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 2027671435000 in words is "two trillion, twenty-seven billion, six hundred seventy-one million, four hundred thirty-five thousand".