1159139580480 has 336 divisors, whose sum is σ = 4581711074304. Its totient is φ = 263481569280.

The previous prime is 1159139580463. The next prime is 1159139580491. The reversal of 1159139580480 is 840859319511.

It is a happy number.

1159139580480 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 13 + 9 + 580 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3490129 + ... + 3807791.

It is an arithmetic number, because the mean of its divisors is an integer number (13636044864).

Almost surely, 2^{1159139580480} is an apocalyptic number.

1159139580480 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 1159139580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290855537152).

1159139580480 is an abundant number, since it is smaller than the sum of its proper divisors (3422571493824).

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

1159139580480 is a wasteful number, since it uses less digits than its factorization.

1159139580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317874 (or 317861 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 1159139580480 in words is "one trillion, one hundred fifty-nine billion, one hundred thirty-nine million, five hundred eighty thousand, four hundred eighty".