1675775977920 has 1680 divisors, whose sum is σ = 6994316850048. Its totient is φ = 379122923520.

The previous prime is 1675775977919. The next prime is 1675775977937. The reversal of 1675775977920 is 297795775761.

1675775977920 is a `hidden beast` number, since 1 + 6 + 7 + 5 + 7 + 7 + 597 + 7 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 25011581727 + ... + 25011581793.

Almost surely, 2^{1675775977920} is an apocalyptic number.

1675775977920 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 1675775977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497158425024).

1675775977920 is an abundant number, since it is smaller than the sum of its proper divisors (5318540872128).

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

1675775977920 is an frugal number, since it uses more digits than its factorization.

1675775977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 408410100, while the sum is 72.

The spelling of 1675775977920 in words is "one trillion, six hundred seventy-five billion, seven hundred seventy-five million, nine hundred seventy-seven thousand, nine hundred twenty".