4922372505600 has 1440 divisors, whose sum is σ = 20208924046080. Its totient is φ = 1164312576000.

The previous prime is 4922372505587. The next prime is 4922372505607. The reversal of 4922372505600 is 65052732294.

4922372505600 is a `hidden beast` number, since 4 + 9 + 2 + 2 + 37 + 2 + 5 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4922372505607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5231001130 + ... + 5231002070.

It is an arithmetic number, because the mean of its divisors is an integer number (14033975032).

Almost surely, 2^{4922372505600} is an apocalyptic number.

4922372505600 is a gapful number since it is divisible by the number (40) 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 4922372505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10104462023040).

4922372505600 is an abundant number, since it is smaller than the sum of its proper divisors (15286551540480).

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

4922372505600 is a wasteful number, since it uses less digits than its factorization.

4922372505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 4922372505600 in words is "four trillion, nine hundred twenty-two billion, three hundred seventy-two million, five hundred five thousand, six hundred".