1577139128964 has 135 divisors (see below), whose sum is σ = 4796569680903. Its totient is φ = 450565969392.

The previous prime is 1577139128947. The next prime is 1577139129011. The reversal of 1577139128964 is 4698219317751.

The square root of 1577139128964 is 1255842.

It is a perfect power (a square), and thus also a powerful number.

1577139128964 is a `hidden beast` number, since 1 + 577 + 1 + 39 + 1 + 28 + 9 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 44 ways as a sum of consecutive naturals, for example, 158231109 + ... + 158241075.

Almost surely, 2^{1577139128964} is an apocalyptic number.

1577139128964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1577139128964 is the 1255842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1577139128964

1577139128964 is an abundant number, since it is smaller than the sum of its proper divisors (3219430551939).

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

1577139128964 is an frugal number, since it uses more digits than its factorization.

1577139128964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19964 (or 9979 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 1577139128964 in words is "one trillion, five hundred seventy-seven billion, one hundred thirty-nine million, one hundred twenty-eight thousand, nine hundred sixty-four".