7531199073216 has 1120 divisors, whose sum is σ = 27974741803008. Its totient is φ = 1950504468480.

The previous prime is 7531199073161. The next prime is 7531199073317. The reversal of 7531199073216 is 6123709911357.

7531199073216 is a `hidden beast` number, since 7 + 531 + 1 + 9 + 90 + 7 + 3 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13189490211 + ... + 13189490781.

Almost surely, 2^{7531199073216} 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 7531199073216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13987370901504).

7531199073216 is an abundant number, since it is smaller than the sum of its proper divisors (20443542729792).

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

7531199073216 is a wasteful number, since it uses less digits than its factorization.

7531199073216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 7531199073216 in words is "seven trillion, five hundred thirty-one billion, one hundred ninety-nine million, seventy-three thousand, two hundred sixteen".