1147205747520 has 1120 divisors, whose sum is σ = 4848792537600. Its totient is φ = 251909554176.

The previous prime is 1147205747507. The next prime is 1147205747557. The reversal of 1147205747520 is 257475027411.

It is a happy number.

1147205747520 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 2 + 0 + 574 + 75 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 159 ways as a sum of consecutive naturals, for example, 1383842466 + ... + 1383843294.

Almost surely, 2^{1147205747520} is an apocalyptic number.

1147205747520 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 1147205747520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424396268800).

1147205747520 is an abundant number, since it is smaller than the sum of its proper divisors (3701586790080).

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

1147205747520 is a wasteful number, since it uses less digits than its factorization.

1147205747520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 1147205747520 in words is "one trillion, one hundred forty-seven billion, two hundred five million, seven hundred forty-seven thousand, five hundred twenty".