11759440073616 has 45 divisors (see below), whose sum is σ = 32910214814971. Its totient is φ = 3919799641056.

The previous prime is 11759440073587. The next prime is 11759440073627. The reversal of 11759440073616 is 61637004495711.

It is a happy number.

The square root of 11759440073616 is 3429204.

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

11759440073616 is a `hidden beast` number, since 1 + 1 + 7 + 594 + 4 + 0 + 0 + 7 + 36 + 16 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41007565 + ... + 41293331.

Almost surely, 2^{11759440073616} is an apocalyptic number.

11759440073616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11759440073616 is the 3429204-th square number.

It is an amenable number.

11759440073616 is an abundant number, since it is smaller than the sum of its proper divisors (21150774741355).

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

11759440073616 is an frugal number, since it uses more digits than its factorization.

11759440073616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571548 (or 285772 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 11759440073616 in words is "eleven trillion, seven hundred fifty-nine billion, four hundred forty million, seventy-three thousand, six hundred sixteen".