752090852120 has 256 divisors, whose sum is σ = 1858099461120. Its totient is φ = 272848896000.

The previous prime is 752090852087. The next prime is 752090852153. The reversal of 752090852120 is 21258090257.

752090852120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (752090852087) and next prime (752090852153).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 955642367 + ... + 955643153.

It is an arithmetic number, because the mean of its divisors is an integer number (7258201020).

Almost surely, 2^752090852120 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 752090852120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929049730560).

752090852120 is an abundant number, since it is smaller than the sum of its proper divisors (1106008609000).

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

752090852120 is a wasteful number, since it uses less digits than its factorization.

752090852120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 41.

The spelling of 752090852120 in words is "seven hundred fifty-two billion, ninety million, eight hundred fifty-two thousand, one hundred twenty".