63225259920 has 120 divisors (see below), whose sum is σ = 212944245696. Its totient is φ = 16811414784.

The previous prime is 63225259919. The next prime is 63225259943. The reversal of 63225259920 is 2995252236.

63225259920 is a `hidden beast` number, since 6 + 3 + 2 + 2 + 52 + 599 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123309 + ... + 376371.

Almost surely, 2^63225259920 is an apocalyptic number.

63225259920 is a gapful number since it is divisible by the number (60) 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 63225259920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106472122848).

63225259920 is an abundant number, since it is smaller than the sum of its proper divisors (149718985776).

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

63225259920 is a wasteful number, since it uses less digits than its factorization.

63225259920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253429 (or 253420 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 63225259920 in words is "sixty-three billion, two hundred twenty-five million, two hundred fifty-nine thousand, nine hundred twenty".