1675523136400 has 135 divisors (see below), whose sum is σ = 4096377905529. Its totient is φ = 658600896000.

The previous prime is 1675523136377. The next prime is 1675523136409. The reversal of 1675523136400 is 46313255761.

The square root of 1675523136400 is 1294420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1608909591184 + 66613545216 = 1268428^2 + 258096^2 .

It is a super-2 number, since 2×1675523136400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1675523136409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1579191870 + ... + 1579192930.

Almost surely, 2^{1675523136400} is an apocalyptic number.

1675523136400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1675523136400 is the 1294420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1675523136400

1675523136400 is an abundant number, since it is smaller than the sum of its proper divisors (2420854769129).

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

1675523136400 is an frugal number, since it uses more digits than its factorization.

1675523136400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 1675523136400 in words is "one trillion, six hundred seventy-five billion, five hundred twenty-three million, one hundred thirty-six thousand, four hundred".