1078036225200 has 600 divisors, whose sum is σ = 4469013719280. Its totient is φ = 245967667200.

The previous prime is 1078036225187. The next prime is 1078036225207. The reversal of 1078036225200 is 25226308701.

1078036225200 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 0 + 3 + 622 + 5 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1078036225207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5969836 + ... + 6147764.

Almost surely, 2^{1078036225200} is an apocalyptic number.

1078036225200 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 1078036225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234506859640).

1078036225200 is an abundant number, since it is smaller than the sum of its proper divisors (3390977494080).

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

1078036225200 is a wasteful number, since it uses less digits than its factorization.

1078036225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177987 (or 177967 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1078036225200 in words is "one trillion, seventy-eight billion, thirty-six million, two hundred twenty-five thousand, two hundred".