1256035732900 has 243 divisors, whose sum is σ = 3046384134171. Its totient is φ = 449296174080.

The previous prime is 1256035732883. The next prime is 1256035732969. The reversal of 1256035732900 is 92375306521.

The square root of 1256035732900 is 1120730.

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

It can be written as a sum of positive squares in 40 ways, for example, as 1069764078436 + 186271654464 = 1034294^2 + 431592^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5390711184 + ... + 5390711416.

Almost surely, 2^{1256035732900} is an apocalyptic number.

1256035732900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1256035732900 is the 1120730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1256035732900

1256035732900 is an abundant number, since it is smaller than the sum of its proper divisors (1790348401271).

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

1256035732900 is a wasteful number, since it uses less digits than its factorization.

1256035732900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 43.

The spelling of 1256035732900 in words is "one trillion, two hundred fifty-six billion, thirty-five million, seven hundred thirty-two thousand, nine hundred".