1257814668780 has 72 divisors (see below), whose sum is σ = 3815574733152. Its totient is φ = 335399348736.

The previous prime is 1257814668767. The next prime is 1257814668791. The reversal of 1257814668780 is 878664187521.

It is a happy number.

1257814668780 is a `hidden beast` number, since 1 + 25 + 7 + 81 + 466 + 8 + 78 + 0 = 666.

It is a super-2 number, since 2×1257814668780² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3386217 + ... + 3739263.

It is an arithmetic number, because the mean of its divisors is an integer number (52994093516).

Almost surely, 2^{1257814668780} is an apocalyptic number.

1257814668780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1257814668780 is an abundant number, since it is smaller than the sum of its proper divisors (2557760064372).

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

1257814668780 is a wasteful number, since it uses less digits than its factorization.

1257814668780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372855 (or 372850 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 1257814668780 in words is "one trillion, two hundred fifty-seven billion, eight hundred fourteen million, six hundred sixty-eight thousand, seven hundred eighty".