7151205996000 has 864 divisors, whose sum is σ = 28017418665600. Its totient is φ = 1726120704000.

The previous prime is 7151205995971. The next prime is 7151205996043. The reversal of 7151205996000 is 6995021517.

7151205996000 is a `hidden beast` number, since 7 + 1 + 51 + 2 + 0 + 599 + 6 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×7151205996000² (a number of 27 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 1041080566 + ... + 1041087434.

It is an arithmetic number, because the mean of its divisors is an integer number (32427567900).

Almost surely, 2^{7151205996000} 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 7151205996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14008709332800).

7151205996000 is an abundant number, since it is smaller than the sum of its proper divisors (20866212669600).

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

7151205996000 is a wasteful number, since it uses less digits than its factorization.

7151205996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7161 (or 7129 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 7151205996000 in words is "seven trillion, one hundred fifty-one billion, two hundred five million, nine hundred ninety-six thousand".