10147924512 has 384 divisors, whose sum is σ = 34566497280. Its totient is φ = 2862305280.

The previous prime is 10147924511. The next prime is 10147924513. The reversal of 10147924512 is 21542974101.

10147924512 is a `hidden beast` number, since 10 + 1 + 47 + 92 + 4 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (10147924511) and next prime (10147924513).

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 (10147924511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17287483 + ... + 17288069.

It is an arithmetic number, because the mean of its divisors is an integer number (90016920).

Almost surely, 2^10147924512 is an apocalyptic number.

10147924512 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 10147924512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17283248640).

10147924512 is an abundant number, since it is smaller than the sum of its proper divisors (24418572768).

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

10147924512 is a wasteful number, since it uses less digits than its factorization.

10147924512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10147924512 in words is "ten billion, one hundred forty-seven million, nine hundred twenty-four thousand, five hundred twelve".