1052675481600 has 1680 divisors, whose sum is σ = 4247605992960. Its totient is φ = 256927334400.

The previous prime is 1052675481589. The next prime is 1052675481617. The reversal of 1052675481600 is 61845762501.

1052675481600 is a `hidden beast` number, since 1 + 0 + 52 + 67 + 5 + 481 + 60 + 0 = 666.

It is a super-2 number, since 2×1052675481600² (a number of 25 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11827814356 + ... + 11827814444.

Almost surely, 2^{1052675481600} is an apocalyptic number.

1052675481600 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 1052675481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123802996480).

1052675481600 is an abundant number, since it is smaller than the sum of its proper divisors (3194930511360).

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

1052675481600 is an equidigital number, since it uses as much as digits as its factorization.

1052675481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1052675481600 in words is "one trillion, fifty-two billion, six hundred seventy-five million, four hundred eighty-one thousand, six hundred".