1147127857920 has 1080 divisors, whose sum is σ = 4588725834000. Its totient is φ = 273350246400.

The previous prime is 1147127857877. The next prime is 1147127857933. The reversal of 1147127857920 is 297587217411.

1147127857920 is a `hidden beast` number, since 1 + 1 + 47 + 1 + 2 + 7 + 8 + 579 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×1147127857920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 765261331 + ... + 765262829.

Almost surely, 2^{1147127857920} is an apocalyptic number.

1147127857920 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 1147127857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294362917000).

1147127857920 is an abundant number, since it is smaller than the sum of its proper divisors (3441597976080).

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

1147127857920 is a wasteful number, since it uses less digits than its factorization.

1147127857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 1147127857920 in words is "one trillion, one hundred forty-seven billion, one hundred twenty-seven million, eight hundred fifty-seven thousand, nine hundred twenty".