1164053721600 has 1800 divisors, whose sum is σ = 5469863821488. Its totient is φ = 241765171200.

The previous prime is 1164053721547. The next prime is 1164053721619. The reversal of 1164053721600 is 61273504611.

1164053721600 is a `hidden beast` number, since 1 + 1 + 6 + 40 + 5 + 3 + 7 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 558834159 + ... + 558836241.

Almost surely, 2^{1164053721600} is an apocalyptic number.

1164053721600 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 1164053721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734931910744).

1164053721600 is an abundant number, since it is smaller than the sum of its proper divisors (4305810099888).

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

1164053721600 is a wasteful number, since it uses less digits than its factorization.

1164053721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1164053721600 in words is "one trillion, one hundred sixty-four billion, fifty-three million, seven hundred twenty-one thousand, six hundred".