1493052825600 has 1344 divisors, whose sum is σ = 6640541049600. Its totient is φ = 321052999680.

The previous prime is 1493052825581. The next prime is 1493052825601. The reversal of 1493052825600 is 65282503941.

1493052825600 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 0 + 5 + 2 + 82 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (1493052825601) 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, 658021266 + ... + 658023534.

Almost surely, 2^{1493052825600} is an apocalyptic number.

1493052825600 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 1493052825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320270524800).

1493052825600 is an abundant number, since it is smaller than the sum of its proper divisors (5147488224000).

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

1493052825600 is a wasteful number, since it uses less digits than its factorization.

1493052825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1493052825600 in words is "one trillion, four hundred ninety-three billion, fifty-two million, eight hundred twenty-five thousand, six hundred".