1154189072960 has 896 divisors, whose sum is σ = 3775608806400. Its totient is φ = 331884134400.

The previous prime is 1154189072951. The next prime is 1154189072989. The reversal of 1154189072960 is 692709814511.

It is a super-2 number, since 2×1154189072960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1087830830 + ... + 1087831890.

Almost surely, 2^{1154189072960} is an apocalyptic number.

1154189072960 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 1154189072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887804403200).

1154189072960 is an abundant number, since it is smaller than the sum of its proper divisors (2621419733440).

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

1154189072960 is a wasteful number, since it uses less digits than its factorization.

1154189072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 53.

The spelling of 1154189072960 in words is "one trillion, one hundred fifty-four billion, one hundred eighty-nine million, seventy-two thousand, nine hundred sixty".