1577478066560 has 256 divisors, whose sum is σ = 4194733435200. Its totient is φ = 562479759360.

The previous prime is 1577478066557. The next prime is 1577478066569. The reversal of 1577478066560 is 656608747751.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1577478066493 and 1577478066502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1577478066569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74423324 + ... + 74444516.

Almost surely, 2^{1577478066560} is an apocalyptic number.

1577478066560 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 1577478066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097366717600).

1577478066560 is an abundant number, since it is smaller than the sum of its proper divisors (2617255368640).

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

1577478066560 is a wasteful number, since it uses less digits than its factorization.

1577478066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21429 (or 21417 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 62.

The spelling of 1577478066560 in words is "one trillion, five hundred seventy-seven billion, four hundred seventy-eight million, sixty-six thousand, five hundred sixty".