1156064000 has 288 divisors, whose sum is σ = 3553420416. Its totient is φ = 364953600.

The previous prime is 1156063969. The next prime is 1156064053. The reversal of 1156064000 is 4606511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2911802 + ... + 2912198.

Almost surely, 2^1156064000 is an apocalyptic number.

1156064000 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 1156064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776710208).

1156064000 is an abundant number, since it is smaller than the sum of its proper divisors (2397356416).

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

1156064000 is an equidigital number, since it uses as much as digits as its factorization.

1156064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1156064000 is about 34000.9411634443. The cubic root of 1156064000 is about 1049.5278300318.

It can be divided in two parts, 11560 and 64000, that multiplied together give a square (739840000 = 27200²).

The spelling of 1156064000 in words is "one billion, one hundred fifty-six million, sixty-four thousand".