1095664627600 has 135 divisors (see below), whose sum is σ = 2655726222513. Its totient is φ = 434405473920.

The previous prime is 1095664627597. The next prime is 1095664627619. The reversal of 1095664627600 is 67264665901.

It is a happy number.

The square root of 1095664627600 is 1046740.

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

It can be written as a sum of positive squares in only one way, i.e., 394439265936 + 701225361664 = 628044^2 + 837392^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4166025069 + ... + 4166025331.

Almost surely, 2^{1095664627600} is an apocalyptic number.

1095664627600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1095664627600 is the 1046740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1095664627600

1095664627600 is an abundant number, since it is smaller than the sum of its proper divisors (1560061594913).

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

1095664627600 is an frugal number, since it uses more digits than its factorization.

1095664627600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 1095664627600 in words is "one trillion, ninety-five billion, six hundred sixty-four million, six hundred twenty-seven thousand, six hundred".