1156455982080 has 1408 divisors, whose sum is σ = 5106167808000. Its totient is φ = 242223022080.

The previous prime is 1156455982039. The next prime is 1156455982093. The reversal of 1156455982080 is 802895546511.

1156455982080 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 4 + 559 + 8 + 2 + 0 + 80 = 666.

It is a super-2 number, since 2×1156455982080² (a number of 25 digits) contains 22 as substring.

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

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 127 ways as a sum of consecutive naturals, for example, 569962506 + ... + 569964534.

Almost surely, 2^{1156455982080} is an apocalyptic number.

1156455982080 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 1156455982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553083904000).

1156455982080 is an abundant number, since it is smaller than the sum of its proper divisors (3949711825920).

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

1156455982080 is a wasteful number, since it uses less digits than its factorization.

1156455982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 1156455982080 in words is "one trillion, one hundred fifty-six billion, four hundred fifty-five million, nine hundred eighty-two thousand, eighty".