1153753108640 has 384 divisors, whose sum is σ = 3177648714240. Its totient is φ = 391226982400.

The previous prime is 1153753108633. The next prime is 1153753108661. The reversal of 1153753108640 is 468013573511.

It is a happy number.

It is a Cunningham number, because it is equal to 1074129²-1.

It is a super-2 number, since 2×1153753108640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1153753108591 and 1153753108600.

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 63 ways as a sum of consecutive naturals, for example, 2502718010 + ... + 2502718470.

It is an arithmetic number, because the mean of its divisors is an integer number (8275126860).

Almost surely, 2^{1153753108640} is an apocalyptic number.

1153753108640 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 1153753108640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588824357120).

1153753108640 is an abundant number, since it is smaller than the sum of its proper divisors (2023895605600).

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

1153753108640 is a wasteful number, since it uses less digits than its factorization.

1153753108640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 1153753108640 in words is "one trillion, one hundred fifty-three billion, seven hundred fifty-three million, one hundred eight thousand, six hundred forty".