1027514704896 has 99 divisors (see below), whose sum is σ = 2967207424051. Its totient is φ = 342472464384.

The previous prime is 1027514704889. The next prime is 1027514704903. The reversal of 1027514704896 is 6984074157201.

The square root of 1027514704896 is 1013664.

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

1027514704896 is a `hidden beast` number, since 10 + 2 + 7 + 5 + 147 + 0 + 489 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1027514704889) and next prime (1027514704903).

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 97306465 + ... + 97317023.

Almost surely, 2^{1027514704896} is an apocalyptic number.

1027514704896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1027514704896 is the 1013664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027514704896

1027514704896 is an abundant number, since it is smaller than the sum of its proper divisors (1939692719155).

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

1027514704896 is an frugal number, since it uses more digits than its factorization.

1027514704896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21144 (or 10564 counting only the distinct ones).

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

The spelling of 1027514704896 in words is "one trillion, twenty-seven billion, five hundred fourteen million, seven hundred four thousand, eight hundred ninety-six".