8054982144000 has 1040 divisors, whose sum is σ = 32761943207136. Its totient is φ = 1952612352000.

The previous prime is 8054982143983. The next prime is 8054982144047. The reversal of 8054982144000 is 4412894508.

8054982144000 is a `hidden beast` number, since 80 + 54 + 9 + 82 + 1 + 440 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 456183172 + ... + 456200828.

Almost surely, 2^{8054982144000} is an apocalyptic number.

8054982144000 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 8054982144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380971603568).

8054982144000 is an abundant number, since it is smaller than the sum of its proper divisors (24706961063136).

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

8054982144000 is a wasteful number, since it uses less digits than its factorization.

8054982144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17719 (or 17678 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 8054982144000 in words is "eight trillion, fifty-four billion, nine hundred eighty-two million, one hundred forty-four thousand".