7147890120000 has 1120 divisors, whose sum is σ = 27628895923200. Its totient is φ = 1596635136000.

The previous prime is 7147890119963. The next prime is 7147890120001. The reversal of 7147890120000 is 210987417.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×7147890120000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7147890120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11547479691 + ... + 11547480309.

Almost surely, 2^{7147890120000} is an apocalyptic number.

7147890120000 is a gapful number since it is divisible by the number (70) 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 7147890120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13814447961600).

7147890120000 is an abundant number, since it is smaller than the sum of its proper divisors (20481005803200).

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

7147890120000 is a wasteful number, since it uses less digits than its factorization.

7147890120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The spelling of 7147890120000 in words is "seven trillion, one hundred forty-seven billion, eight hundred ninety million, one hundred twenty thousand".