1035804250800 has 1200 divisors, whose sum is σ = 4301317912320. Its totient is φ = 236079360000.

The previous prime is 1035804250799. The next prime is 1035804250849. The reversal of 1035804250800 is 80524085301.

It is a happy number.

1035804250800 is a `hidden beast` number, since 1 + 0 + 35 + 80 + 42 + 508 + 0 + 0 = 666.

1035804250800 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 (1200).

It is a super-3 number, since 3×1035804250800³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1022511094 + ... + 1022512106.

Almost surely, 2^{1035804250800} is an apocalyptic number.

1035804250800 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 1035804250800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150658956160).

1035804250800 is an abundant number, since it is smaller than the sum of its proper divisors (3265513661520).

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

1035804250800 is a wasteful number, since it uses less digits than its factorization.

1035804250800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 1035804250800 in words is "one trillion, thirty-five billion, eight hundred four million, two hundred fifty thousand, eight hundred".