1153305350400 has 1728 divisors, whose sum is σ = 5010399313920. Its totient is φ = 227200204800.

The previous prime is 1153305350399. The next prime is 1153305350453. The reversal of 1153305350400 is 40535033511.

It is a super-2 number, since 2×1153305350400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1345746772 + ... + 1345747628.

It is an arithmetic number, because the mean of its divisors is an integer number (2899536640).

Almost surely, 2^{1153305350400} is an apocalyptic number.

1153305350400 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 1153305350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505199656960).

1153305350400 is an abundant number, since it is smaller than the sum of its proper divisors (3857093963520).

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

1153305350400 is a wasteful number, since it uses less digits than its factorization.

1153305350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The spelling of 1153305350400 in words is "one trillion, one hundred fifty-three billion, three hundred five million, three hundred fifty thousand, four hundred".