11897256577600 has 189 divisors, whose sum is σ = 29855811512667. Its totient is φ = 4666242247680.

The previous prime is 11897256577589. The next prime is 11897256577643. The reversal of 11897256577600 is 677565279811.

The square root of 11897256577600 is 3449240.

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 89621199424 + 11807635378176 = 299368^2 + 3436224^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7312387987 + ... + 7312389613.

Almost surely, 2^{11897256577600} is an apocalyptic number.

11897256577600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11897256577600 is the 3449240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11897256577600

11897256577600 is an abundant number, since it is smaller than the sum of its proper divisors (17958554935067).

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

11897256577600 is an frugal number, since it uses more digits than its factorization.

11897256577600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 64.

Multiplying 11897256577600 by its sum of digits (64), we get a square (761424420966400 = 27593920²).

11897256577600 divided by its sum of digits (64) gives a square (185894634025 = 431155²).

It can be divided in two parts, 118972565 and 77600, that added together give a triangular number (119050165 = T₁₅₄₃₀).

The spelling of 11897256577600 in words is "eleven trillion, eight hundred ninety-seven billion, two hundred fifty-six million, five hundred seventy-seven thousand, six hundred".