1159049502720 has 1344 divisors, whose sum is σ = 4472272756224. Its totient is φ = 287291473920.

The previous prime is 1159049502707. The next prime is 1159049502749. The reversal of 1159049502720 is 272059409511.

1159049502720 is a `hidden beast` number, since 1 + 1 + 5 + 90 + 495 + 0 + 2 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13964451799 + ... + 13964451881.

It is an arithmetic number, because the mean of its divisors is an integer number (3327583896).

Almost surely, 2^{1159049502720} is an apocalyptic number.

1159049502720 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 1159049502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236136378112).

1159049502720 is an abundant number, since it is smaller than the sum of its proper divisors (3313223253504).

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

1159049502720 is an frugal number, since it uses more digits than its factorization.

1159049502720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 1159049502720 in words is "one trillion, one hundred fifty-nine billion, forty-nine million, five hundred two thousand, seven hundred twenty".