867211008000 has 384 divisors, whose sum is σ = 2955855913920. Its totient is φ = 225607680000.

The previous prime is 867211007983. The next prime is 867211008007. The reversal of 867211008000 is 800112768.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867211008007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31474230 + ... + 31501770.

Almost surely, 2^867211008000 is an apocalyptic number.

867211008000 is a gapful number since it is divisible by the number (80) 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 867211008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477927956960).

867211008000 is an abundant number, since it is smaller than the sum of its proper divisors (2088644905920).

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

867211008000 is a wasteful number, since it uses less digits than its factorization.

867211008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27622 (or 27592 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The spelling of 867211008000 in words is "eight hundred sixty-seven billion, two hundred eleven million, eight thousand".