8073058560000 has 960 divisors, whose sum is σ = 30893028566400. Its totient is φ = 1835925504000.

The previous prime is 8073058559987. The next prime is 8073058560013. The reversal of 8073058560000 is 658503708.

It is an interprime number because it is at equal distance from previous prime (8073058559987) and next prime (8073058560013).

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 6263039356 + ... + 6263040644.

It is an arithmetic number, because the mean of its divisors is an integer number (32180238090).

Almost surely, 2^{8073058560000} is an apocalyptic number.

8073058560000 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 8073058560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15446514283200).

8073058560000 is an abundant number, since it is smaller than the sum of its proper divisors (22819970006400).

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

8073058560000 is a wasteful number, since it uses less digits than its factorization.

8073058560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 8073058560000 in words is "eight trillion, seventy-three billion, fifty-eight million, five hundred sixty thousand".