1178420576256 has 1224 divisors, whose sum is σ = 4548084008832. Its totient is φ = 296209612800.

The previous prime is 1178420576243. The next prime is 1178420576257. The reversal of 1178420576256 is 6526750248711.

It is a happy number.

1178420576256 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 4 + 2 + 0 + 5 + 7 + 625 + 6 = 666.

It is a super-2 number, since 2×1178420576256² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1178420576257) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38013566961 + ... + 38013566991.

Almost surely, 2^{1178420576256} is an apocalyptic number.

1178420576256 is a gapful number since it is divisible by the number (16) 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 1178420576256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274042004416).

1178420576256 is an abundant number, since it is smaller than the sum of its proper divisors (3369663432576).

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

1178420576256 is an frugal number, since it uses more digits than its factorization.

1178420576256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 1178420576256 in words is "one trillion, one hundred seventy-eight billion, four hundred twenty million, five hundred seventy-six thousand, two hundred fifty-six".