8026388160000 has 1200 divisors, whose sum is σ = 32914041397776. Its totient is φ = 1726513152000.

The previous prime is 8026388159987. The next prime is 8026388160019. The reversal of 8026388160000 is 618836208.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 799674982 + ... + 799685018.

Almost surely, 2^{8026388160000} is an apocalyptic number.

8026388160000 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 8026388160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16457020698888).

8026388160000 is an abundant number, since it is smaller than the sum of its proper divisors (24887653237776).

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

8026388160000 is a wasteful number, since it uses less digits than its factorization.

8026388160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10109 (or 10071 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 8026388160000 in words is "eight trillion, twenty-six billion, three hundred eighty-eight million, one hundred sixty thousand".