10020712148832 has 384 divisors, whose sum is σ = 34095812889600. Its totient is φ = 2553668382720.

The previous prime is 10020712148827. The next prime is 10020712148851. The reversal of 10020712148832 is 23884121702001.

10020712148832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 18936028 + ... + 19458020.

It is an arithmetic number, because the mean of its divisors is an integer number (88791179400).

Almost surely, 2^{10020712148832} is an apocalyptic number.

10020712148832 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 10020712148832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17047906444800).

10020712148832 is an abundant number, since it is smaller than the sum of its proper divisors (24075100740768).

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

10020712148832 is a wasteful number, since it uses less digits than its factorization.

10020712148832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522091 (or 522069 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 10020712148832 in words is "ten trillion, twenty billion, seven hundred twelve million, one hundred forty-eight thousand, eight hundred thirty-two".