1164587468400 has 960 divisors, whose sum is σ = 4561358054400. Its totient is φ = 281014272000.

The previous prime is 1164587468357. The next prime is 1164587468413. The reversal of 1164587468400 is 48647854611.

1164587468400 is a `hidden beast` number, since 1 + 1 + 64 + 5 + 87 + 468 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 534458511 + ... + 534460689.

It is an arithmetic number, because the mean of its divisors is an integer number (4751414640).

Almost surely, 2^{1164587468400} is an apocalyptic number.

1164587468400 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 1164587468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280679027200).

1164587468400 is an abundant number, since it is smaller than the sum of its proper divisors (3396770586000).

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

1164587468400 is a wasteful number, since it uses less digits than its factorization.

1164587468400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1164587468400 in words is "one trillion, one hundred sixty-four billion, five hundred eighty-seven million, four hundred sixty-eight thousand, four hundred".