7542152653200 has 960 divisors, whose sum is σ = 28582901529600. Its totient is φ = 1680063897600.

The previous prime is 7542152653193. The next prime is 7542152653207. The reversal of 7542152653200 is 23562512457.

It is an interprime number because it is at equal distance from previous prime (7542152653193) and next prime (7542152653207).

It is not an unprimeable number, because it can be changed into a prime (7542152653207) 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 191 ways as a sum of consecutive naturals, for example, 3461289711 + ... + 3461291889.

It is an arithmetic number, because the mean of its divisors is an integer number (29773855760).

Almost surely, 2^{7542152653200} 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 7542152653200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14291450764800).

7542152653200 is an abundant number, since it is smaller than the sum of its proper divisors (21040748876400).

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

7542152653200 is a wasteful number, since it uses less digits than its factorization.

7542152653200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 7542152653200 in words is "seven trillion, five hundred forty-two billion, one hundred fifty-two million, six hundred fifty-three thousand, two hundred".