7145079552000 has 1536 divisors, whose sum is σ = 28710717235200. Its totient is φ = 1742487552000.

The previous prime is 7145079551989. The next prime is 7145079552019. The reversal of 7145079552000 is 2559705417.

7145079552000 is a `hidden beast` number, since 7 + 1 + 4 + 50 + 79 + 5 + 520 + 0 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 11771135697 + ... + 11771136303.

It is an arithmetic number, because the mean of its divisors is an integer number (18691873200).

Almost surely, 2^{7145079552000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7145079552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14355358617600).

7145079552000 is an abundant number, since it is smaller than the sum of its proper divisors (21565637683200).

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

7145079552000 is a wasteful number, since it uses less digits than its factorization.

7145079552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 7145079552000 in words is "seven trillion, one hundred forty-five billion, seventy-nine million, five hundred fifty-two thousand".