1690199541072 has 240 divisors, whose sum is σ = 5776472782080. Its totient is φ = 450337148928.

The previous prime is 1690199540971. The next prime is 1690199541097. The reversal of 1690199541072 is 2701459910961.

It is a happy number.

1690199541072 is a `hidden beast` number, since 1 + 6 + 9 + 0 + 1 + 99 + 541 + 0 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1415373 + ... + 2320275.

It is an arithmetic number, because the mean of its divisors is an integer number (24068636592).

Almost surely, 2^{1690199541072} is an apocalyptic number.

1690199541072 is a gapful number since it is divisible by the number (12) 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 1690199541072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888236391040).

1690199541072 is an abundant number, since it is smaller than the sum of its proper divisors (4086273241008).

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

1690199541072 is a wasteful number, since it uses less digits than its factorization.

1690199541072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905050 (or 905041 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 1690199541072 in words is "one trillion, six hundred ninety billion, one hundred ninety-nine million, five hundred forty-one thousand, seventy-two".