752128268100 has 576 divisors, whose sum is σ = 2552686617600. Its totient is φ = 170374195200.

The previous prime is 752128268063. The next prime is 752128268207. The reversal of 752128268100 is 1862821257.

It is a super-2 number, since 2×752128268100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1215069591 + ... + 1215070209.

It is an arithmetic number, because the mean of its divisors is an integer number (4431747600).

Almost surely, 2^752128268100 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 752128268100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276343308800).

752128268100 is an abundant number, since it is smaller than the sum of its proper divisors (1800558349500).

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

752128268100 is a wasteful number, since it uses less digits than its factorization.

752128268100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 752128268100 in words is "seven hundred fifty-two billion, one hundred twenty-eight million, two hundred sixty-eight thousand, one hundred".