1156859781120 has 1568 divisors, whose sum is σ = 4594981688352. Its totient is φ = 278245933056.

The previous prime is 1156859781113. The next prime is 1156859781179. The reversal of 1156859781120 is 211879586511.

1156859781120 is a `hidden beast` number, since 1 + 1 + 568 + 5 + 9 + 78 + 1 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 21827543014 + ... + 21827543066.

Almost surely, 2^{1156859781120} is an apocalyptic number.

1156859781120 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 1156859781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297490844176).

1156859781120 is an abundant number, since it is smaller than the sum of its proper divisors (3438121907232).

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

1156859781120 is an frugal number, since it uses more digits than its factorization.

1156859781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 54.

The spelling of 1156859781120 in words is "one trillion, one hundred fifty-six billion, eight hundred fifty-nine million, seven hundred eighty-one thousand, one hundred twenty".