1257780194064 has 75 divisors (see below), whose sum is σ = 3640497651813. Its totient is φ = 419246606592.

The previous prime is 1257780194051. The next prime is 1257780194081. The reversal of 1257780194064 is 4604910877521.

The square root of 1257780194064 is 1121508.

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

1257780194064 is a `hidden beast` number, since 1 + 2 + 577 + 8 + 0 + 1 + 9 + 4 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 318028323600 + 939751870464 = 563940^2 + 969408^2 .

It is a super-2 number, since 2×1257780194064² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1257780194064.

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 14 ways as a sum of consecutive naturals, for example, 40358712 + ... + 40389864.

Almost surely, 2^{1257780194064} is an apocalyptic number.

1257780194064 is the 1121508-th square number.

It is an amenable number.

1257780194064 is an abundant number, since it is smaller than the sum of its proper divisors (2382717457749).

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

1257780194064 is an frugal number, since it uses more digits than its factorization.

1257780194064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62326 (or 31158 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1257780194064 in words is "one trillion, two hundred fifty-seven billion, seven hundred eighty million, one hundred ninety-four thousand, sixty-four".