10147479552 has 480 divisors, whose sum is σ = 35860204800. Its totient is φ = 2774532096.

The previous prime is 10147479539. The next prime is 10147479577. The reversal of 10147479552 is 25597474101.

10147479552 is a `hidden beast` number, since 10 + 1 + 47 + 47 + 9 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10147479498 and 10147479507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89800648 + ... + 89800760.

It is an arithmetic number, because the mean of its divisors is an integer number (74708760).

Almost surely, 2^10147479552 is an apocalyptic number.

10147479552 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 10147479552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17930102400).

10147479552 is an abundant number, since it is smaller than the sum of its proper divisors (25712725248).

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

10147479552 is an equidigital number, since it uses as much as digits as its factorization.

10147479552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 10147479552 in words is "ten billion, one hundred forty-seven million, four hundred seventy-nine thousand, five hundred fifty-two".