1153909164960 has 240 divisors, whose sum is σ = 4129697924352. Its totient is φ = 303374937600.

The previous prime is 1153909164931. The next prime is 1153909164983. The reversal of 1153909164960 is 694619093511.

It is a happy number.

1153909164960 is a `hidden beast` number, since 1 + 1 + 5 + 390 + 9 + 164 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1153909164897 and 1153909164906.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 293145 + ... + 1547175.

Almost surely, 2^{1153909164960} is an apocalyptic number.

1153909164960 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 1153909164960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064848962176).

1153909164960 is an abundant number, since it is smaller than the sum of its proper divisors (2975788759392).

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

1153909164960 is a wasteful number, since it uses less digits than its factorization.

1153909164960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254129 (or 1254112 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 1153909164960 in words is "one trillion, one hundred fifty-three billion, nine hundred nine million, one hundred sixty-four thousand, nine hundred sixty".