1164135628800 has 1368 divisors, whose sum is σ = 4685515170336. Its totient is φ = 285380444160.

The previous prime is 1164135628763. The next prime is 1164135628847. The reversal of 1164135628800 is 88265314611.

1164135628800 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 1 + 3 + 562 + 8 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27072921579 + ... + 27072921621.

Almost surely, 2^{1164135628800} is an apocalyptic number.

1164135628800 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 1164135628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342757585168).

1164135628800 is an abundant number, since it is smaller than the sum of its proper divisors (3521379541536).

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

1164135628800 is an frugal number, since it uses more digits than its factorization.

1164135628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1164135628800 in words is "one trillion, one hundred sixty-four billion, one hundred thirty-five million, six hundred twenty-eight thousand, eight hundred".