10067512752 has 120 divisors (see below), whose sum is σ = 30909003840. Its totient is φ = 3033632640.

The previous prime is 10067512723. The next prime is 10067512757. The reversal of 10067512752 is 25721576001.

10067512752 is a `hidden beast` number, since 10 + 0 + 67 + 512 + 75 + 2 = 666.

It is a super-2 number, since 2×10067512752² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10067512757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265783 + ... + 301289.

It is an arithmetic number, because the mean of its divisors is an integer number (257575032).

Almost surely, 2^10067512752 is an apocalyptic number.

10067512752 is a gapful number since it is divisible by the number (12) 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 10067512752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15454501920).

10067512752 is an abundant number, since it is smaller than the sum of its proper divisors (20841491088).

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

10067512752 is a wasteful number, since it uses less digits than its factorization.

10067512752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35711 (or 35702 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 10067512752 in words is "ten billion, sixty-seven million, five hundred twelve thousand, seven hundred fifty-two".