1177659040000 has 135 divisors (see below), whose sum is σ = 2938540157553. Its totient is φ = 470889984000.

The previous prime is 1177659039971. The next prime is 1177659040007. The reversal of 1177659040000 is 409567711.

The square root of 1177659040000 is 1085200.

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

It can be written as a sum of positive squares in 7 ways, for example, as 177787035904 + 999872004096 = 421648^2 + 999936^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1177659040007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 434078644 + ... + 434081356.

Almost surely, 2^{1177659040000} is an apocalyptic number.

1177659040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1177659040000 is the 1085200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1177659040000

1177659040000 is an abundant number, since it is smaller than the sum of its proper divisors (1760881117553).

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

1177659040000 is an frugal number, since it uses more digits than its factorization.

1177659040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 1177659040000 in words is "one trillion, one hundred seventy-seven billion, six hundred fifty-nine million, forty thousand".