7016145218880 has 672 divisors, whose sum is σ = 27887496728832. Its totient is φ = 1484601753600.

The previous prime is 7016145218869. The next prime is 7016145218903. The reversal of 7016145218880 is 888125416107.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48708565 + ... + 48852395.

Almost surely, 2^{7016145218880} is an apocalyptic number.

7016145218880 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 7016145218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13943748364416).

7016145218880 is an abundant number, since it is smaller than the sum of its proper divisors (20871351509952).

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

7016145218880 is a wasteful number, since it uses less digits than its factorization.

7016145218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143943 (or 143926 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 51.

The spelling of 7016145218880 in words is "seven trillion, sixteen billion, one hundred forty-five million, two hundred eighteen thousand, eight hundred eighty".