1257977587216 has 135 divisors (see below), whose sum is σ = 2909080237287. Its totient is φ = 525445294080.

The previous prime is 1257977587171. The next prime is 1257977587247. The reversal of 1257977587216 is 6127857797521.

The square root of 1257977587216 is 1121596.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1569744400 + 1256407842816 = 39620^2 + 1120896^2 .

Its product of digits (103723200) is a multiple of the sum of its prime factors (2058).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1287591720 + ... + 1287592696.

Almost surely, 2^{1257977587216} is an apocalyptic number.

1257977587216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1257977587216 is the 1121596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1257977587216

1257977587216 is an abundant number, since it is smaller than the sum of its proper divisors (1651102650071).

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

1257977587216 is an frugal number, since it uses more digits than its factorization.

1257977587216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 1027 counting only the distinct ones).

The product of its digits is 103723200, while the sum is 67.

The spelling of 1257977587216 in words is "one trillion, two hundred fifty-seven billion, nine hundred seventy-seven million, five hundred eighty-seven thousand, two hundred sixteen".