8221015006000 has 80 divisors (see below), whose sum is σ = 21047732858880. Its totient is φ = 3094970342400.

The previous prime is 8221015005967. The next prime is 8221015006007. The reversal of 8221015006000 is 6005101228.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (8221015006007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120863280 + ... + 120931279.

It is an arithmetic number, because the mean of its divisors is an integer number (263096660736).

Almost surely, 2^{8221015006000} is an apocalyptic number.

8221015006000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8221015006000 is an abundant number, since it is smaller than the sum of its proper divisors (12826717852880).

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

8221015006000 is a wasteful number, since it uses less digits than its factorization.

8221015006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241794599 (or 241794583 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The spelling of 8221015006000 in words is "eight trillion, two hundred twenty-one billion, fifteen million, six thousand".