1078180359600 has 240 divisors, whose sum is σ = 3570022805504. Its totient is φ = 277862400000.

The previous prime is 1078180359493. The next prime is 1078180359601. The reversal of 1078180359600 is 69530818701.

1078180359600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1078180359600.

It is not an unprimeable number, because it can be changed into a prime (1078180359601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27917904 + ... + 27956496.

Almost surely, 2^{1078180359600} is an apocalyptic number.

1078180359600 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 1078180359600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785011402752).

1078180359600 is an abundant number, since it is smaller than the sum of its proper divisors (2491842445904).

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

1078180359600 is a wasteful number, since it uses less digits than its factorization.

1078180359600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39396 (or 39385 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 1078180359600 in words is "one trillion, seventy-eight billion, one hundred eighty million, three hundred fifty-nine thousand, six hundred".