1151443762560 has 1024 divisors, whose sum is σ = 5136139008000. Its totient is φ = 237278232576.

The previous prime is 1151443762543. The next prime is 1151443762591. The reversal of 1151443762560 is 652673441511.

It is a happy number.

1151443762560 is a `hidden beast` number, since 1 + 1 + 5 + 14 + 4 + 3 + 7 + 625 + 6 + 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 127 ways as a sum of consecutive naturals, for example, 67608126 + ... + 67625154.

It is an arithmetic number, because the mean of its divisors is an integer number (5015760750).

Almost surely, 2^{1151443762560} is an apocalyptic number.

1151443762560 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 1151443762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568069504000).

1151443762560 is an abundant number, since it is smaller than the sum of its proper divisors (3984695245440).

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

1151443762560 is a wasteful number, since it uses less digits than its factorization.

1151443762560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17120 (or 17102 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1151443762560 in words is "one trillion, one hundred fifty-one billion, four hundred forty-three million, seven hundred sixty-two thousand, five hundred sixty".