1677120130560 has 960 divisors, whose sum is σ = 6489034675200. Its totient is φ = 368001220608.

The previous prime is 1677120130493. The next prime is 1677120130561. The reversal of 1677120130560 is 650310217761.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1677120130561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2608273599 + ... + 2608274241.

It is an arithmetic number, because the mean of its divisors is an integer number (6759411120).

Almost surely, 2^{1677120130560} is an apocalyptic number.

1677120130560 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 1677120130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244517337600).

1677120130560 is an abundant number, since it is smaller than the sum of its proper divisors (4811914544640).

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

1677120130560 is a wasteful number, since it uses less digits than its factorization.

1677120130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 1677120130560 in words is "one trillion, six hundred seventy-seven billion, one hundred twenty million, one hundred thirty thousand, five hundred sixty".