8001085554000 has 4480 divisors, whose sum is σ = 39620275568640. Its totient is φ = 1524251520000.

The previous prime is 8001085553921. The next prime is 8001085554017. The reversal of 8001085554000 is 4555801008.

8001085554000 is a `hidden beast` number, since 8 + 0 + 0 + 108 + 5 + 5 + 540 + 0 + 0 = 666.

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 895 ways as a sum of consecutive naturals, for example, 258099533985 + ... + 258099534015.

Almost surely, 2^{8001085554000} is an apocalyptic number.

8001085554000 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 8001085554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19810137784320).

8001085554000 is an abundant number, since it is smaller than the sum of its proper divisors (31619190014640).

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

8001085554000 is a wasteful number, since it uses less digits than its factorization.

8001085554000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 8001085554000 in words is "eight trillion, one billion, eighty-five million, five hundred fifty-four thousand".