1690884115600 has 135 divisors (see below), whose sum is σ = 4119427513593. Its totient is φ = 666980795520.

The previous prime is 1690884115589. The next prime is 1690884115601. The reversal of 1690884115600 is 65114880961.

The square root of 1690884115600 is 1300340.

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., 608718281616 + 1082165833984 = 780204^2 + 1040272^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1690884115601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2054536789 + ... + 2054537611.

Almost surely, 2^{1690884115600} is an apocalyptic number.

1690884115600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1690884115600 is the 1300340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1690884115600

1690884115600 is an abundant number, since it is smaller than the sum of its proper divisors (2428543397993).

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

1690884115600 is an frugal number, since it uses more digits than its factorization.

1690884115600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 49.

Multiplying 1690884115600 by its sum of digits (49), we get a square (82853321664400 = 9102380²).

The spelling of 1690884115600 in words is "one trillion, six hundred ninety billion, eight hundred eighty-four million, one hundred fifteen thousand, six hundred".