1154991052800 has 1728 divisors, whose sum is σ = 4769033199840. Its totient is φ = 275188285440.

The previous prime is 1154991052783. The next prime is 1154991052847. The reversal of 1154991052800 is 82501994511.

1154991052800 is a `hidden beast` number, since 11 + 549 + 9 + 10 + 5 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 143 ways as a sum of consecutive naturals, for example, 5984409504 + ... + 5984409696.

Almost surely, 2^{1154991052800} is an apocalyptic number.

1154991052800 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 1154991052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384516599920).

1154991052800 is an abundant number, since it is smaller than the sum of its proper divisors (3614042147040).

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

1154991052800 is a wasteful number, since it uses less digits than its factorization.

1154991052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 1154991052800 in words is "one trillion, one hundred fifty-four billion, nine hundred ninety-one million, fifty-two thousand, eight hundred".