11961360590400 has 945 divisors, whose sum is σ = 47673696475251. Its totient is φ = 2940350699520.

The previous prime is 11961360590393. The next prime is 11961360590471. The reversal of 11961360590400 is 409506316911.

The square root of 11961360590400 is 3458520.

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

11961360590400 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 13 + 6 + 0 + 590 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3083058386496 + 8878302203904 = 1755864^2 + 2979648^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 16185873231 + ... + 16185873969.

Almost surely, 2^{11961360590400} is an apocalyptic number.

11961360590400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11961360590400 is the 3458520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11961360590400

11961360590400 is an abundant number, since it is smaller than the sum of its proper divisors (35712335884851).

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

11961360590400 is an frugal number, since it uses more digits than its factorization.

11961360590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 11961360590400 in words is "eleven trillion, nine hundred sixty-one billion, three hundred sixty million, five hundred ninety thousand, four hundred".