1153051302400 has 120 divisors (see below), whose sum is σ = 3024820824300. Its totient is φ = 434089820160.

The previous prime is 1153051302397. The next prime is 1153051302401. The reversal of 1153051302400 is 42031503511.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 514100472064 + 638950830336 = 717008^2 + 799344^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1153051302401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2431875 + ... + 2867074.

Almost surely, 2^{1153051302400} is an apocalyptic number.

1153051302400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1153051302400 is an abundant number, since it is smaller than the sum of its proper divisors (1871769521900).

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

1153051302400 is an equidigital number, since it uses as much as digits as its factorization.

1153051302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5298994 (or 5298973 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 1153051302400 its reverse (42031503511), we get a palindrome (1195082805911).

The spelling of 1153051302400 in words is "one trillion, one hundred fifty-three billion, fifty-one million, three hundred two thousand, four hundred".