147979225821600 has 864 divisors, whose sum is σ = 568010345011200. Its totient is φ = 36113440204800.

The previous prime is 147979225821563. The next prime is 147979225821611. The reversal of 147979225821600 is 6128522979741.

147979225821600 is a `hidden beast` number, since 1 + 47 + 9 + 7 + 9 + 2 + 2 + 582 + 1 + 6 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2387539411 + ... + 2387601389.

It is an arithmetic number, because the mean of its divisors is an integer number (657419380800).

Almost surely, 2^{147979225821600} is an apocalyptic number.

147979225821600 is a gapful number since it is divisible by the number (10) 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 147979225821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284005172505600).

147979225821600 is an abundant number, since it is smaller than the sum of its proper divisors (420031119189600).

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

147979225821600 is a wasteful number, since it uses less digits than its factorization.

147979225821600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62618 (or 62602 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 147979225821600 in words is "one hundred forty-seven trillion, nine hundred seventy-nine billion, two hundred twenty-five million, eight hundred twenty-one thousand, six hundred".