1153021184640 has 960 divisors, whose sum is σ = 4580547923160. Its totient is φ = 276072136704.

The previous prime is 1153021184611. The next prime is 1153021184663. The reversal of 1153021184640 is 464811203511.

1153021184640 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 0 + 2 + 1 + 1 + 8 + 4 + 640 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3511273536 + 1149509911104 = 59256^2 + 1072152^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 1153021184595 and 1153021184604.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 324153742 + ... + 324157298.

Almost surely, 2^{1153021184640} is an apocalyptic number.

1153021184640 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 1153021184640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290273961580).

1153021184640 is an abundant number, since it is smaller than the sum of its proper divisors (3427526738520).

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

1153021184640 is a wasteful number, since it uses less digits than its factorization.

1153021184640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1153021184640 in words is "one trillion, one hundred fifty-three billion, twenty-one million, one hundred eighty-four thousand, six hundred forty".