8072951040000 has 2880 divisors, whose sum is σ = 38316934656000. Its totient is φ = 1585889280000.

The previous prime is 8072951039947. The next prime is 8072951040023. The reversal of 8072951040000 is 401592708.

8072951040000 is a `hidden beast` number, since 80 + 7 + 29 + 510 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16853759761 + ... + 16853760239.

It is an arithmetic number, because the mean of its divisors is an integer number (13304491200).

Almost surely, 2^{8072951040000} is an apocalyptic number.

8072951040000 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 8072951040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19158467328000).

8072951040000 is an abundant number, since it is smaller than the sum of its proper divisors (30243983616000).

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

8072951040000 is a wasteful number, since it uses less digits than its factorization.

8072951040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 8072951040000 in words is "eight trillion, seventy-two billion, nine hundred fifty-one million, forty thousand".