1172961676480 has 224 divisors, whose sum is σ = 3188449889280. Its totient is φ = 406840135680.

The previous prime is 1172961676477. The next prime is 1172961676493. The reversal of 1172961676480 is 846761692711.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29044462 + ... + 29084818.

Almost surely, 2^{1172961676480} is an apocalyptic number.

1172961676480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1172961676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594224944640).

1172961676480 is an abundant number, since it is smaller than the sum of its proper divisors (2015488212800).

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

1172961676480 is a wasteful number, since it uses less digits than its factorization.

1172961676480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40767 (or 40757 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 58.

It can be divided in two parts, 11729616 and 76480, that added together give a square (11806096 = 3436²).

The spelling of 1172961676480 in words is "one trillion, one hundred seventy-two billion, nine hundred sixty-one million, six hundred seventy-six thousand, four hundred eighty".