1147627388160 has 360 divisors, whose sum is σ = 4479736082976. Its totient is φ = 278212423680.

The previous prime is 1147627388153. The next prime is 1147627388179. The reversal of 1147627388160 is 618837267411.

1147627388160 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 627 + 3 + 8 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 1147627388097 and 1147627388106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 637347 + ... + 1643613.

Almost surely, 2^{1147627388160} is an apocalyptic number.

1147627388160 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 1147627388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239868041488).

1147627388160 is an abundant number, since it is smaller than the sum of its proper divisors (3332108694816).

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

1147627388160 is a wasteful number, since it uses less digits than its factorization.

1147627388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006311 (or 1006288 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 1147627388160 in words is "one trillion, one hundred forty-seven billion, six hundred twenty-seven million, three hundred eighty-eight thousand, one hundred sixty".