1153024400000 has 192 divisors, whose sum is σ = 3132139842720. Its totient is φ = 419280000000.

The previous prime is 1153024399957. The next prime is 1153024400071. The reversal of 1153024400000 is 44203511.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4268975 + ... + 4531025.

Almost surely, 2^{1153024400000} is an apocalyptic number.

1153024400000 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 1153024400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566069921360).

1153024400000 is an abundant number, since it is smaller than the sum of its proper divisors (1979115442720).

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

1153024400000 is an frugal number, since it uses more digits than its factorization.

1153024400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262101 (or 262069 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 1153024400000 its reverse (44203511), we get a palindrome (1153068603511).

The spelling of 1153024400000 in words is "one trillion, one hundred fifty-three billion, twenty-four million, four hundred thousand".