1153138291200 has 1200 divisors, whose sum is σ = 4962054461760. Its totient is φ = 259010887680.

The previous prime is 1153138291177. The next prime is 1153138291219. The reversal of 1153138291200 is 21928313511.

1153138291200 is a `hidden beast` number, since 1 + 1 + 531 + 38 + 2 + 91 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 428197054 + ... + 428199746.

Almost surely, 2^{1153138291200} is an apocalyptic number.

1153138291200 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 1153138291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481027230880).

1153138291200 is an abundant number, since it is smaller than the sum of its proper divisors (3808916170560).

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

1153138291200 is an equidigital number, since it uses as much as digits as its factorization.

1153138291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 1153138291200 in words is "one trillion, one hundred fifty-three billion, one hundred thirty-eight million, two hundred ninety-one thousand, two hundred".