8012038963200 has 1536 divisors, whose sum is σ = 29615243431680. Its totient is φ = 1902536294400.

The previous prime is 8012038963171. The next prime is 8012038963213. The reversal of 8012038963200 is 23698302108.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109753958364 + ... + 109753958436.

Almost surely, 2^{8012038963200} is an apocalyptic number.

8012038963200 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 8012038963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14807621715840).

8012038963200 is an abundant number, since it is smaller than the sum of its proper divisors (21603204468480).

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

8012038963200 is a wasteful number, since it uses less digits than its factorization.

8012038963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 8012038963200 in words is "eight trillion, twelve billion, thirty-eight million, nine hundred sixty-three thousand, two hundred".