1078148332800 has 2592 divisors, whose sum is σ = 5064963321600. Its totient is φ = 218566656000.

The previous prime is 1078148332753. The next prime is 1078148332831. The reversal of 1078148332800 is 82338418701.

1078148332800 is a `hidden beast` number, since 10 + 7 + 81 + 483 + 3 + 2 + 80 + 0 = 666.

1078148332800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26296300780 + ... + 26296300820.

Almost surely, 2^{1078148332800} is an apocalyptic number.

1078148332800 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 1078148332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532481660800).

1078148332800 is an abundant number, since it is smaller than the sum of its proper divisors (3986814988800).

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

1078148332800 is an equidigital number, since it uses as much as digits as its factorization.

1078148332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1078148332800 in words is "one trillion, seventy-eight billion, one hundred forty-eight million, three hundred thirty-two thousand, eight hundred".