5413588992000 has 2688 divisors, whose sum is σ = 24203407695480. Its totient is φ = 1203948748800.

The previous prime is 5413588991957. The next prime is 5413588992041. The reversal of 5413588992000 is 2998853145.

5413588992000 is a `hidden beast` number, since 5 + 4 + 1 + 358 + 89 + 9 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2786388885504 + 2627200106496 = 1669248^2 + 1620864^2 .

It is a tau number, because it is divible by the number of its divisors (2688).

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 167 ways as a sum of consecutive naturals, for example, 146313215982 + ... + 146313216018.

Almost surely, 2^{5413588992000} is an apocalyptic number.

5413588992000 is a gapful number since it is divisible by the number (50) 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 5413588992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12101703847740).

5413588992000 is an abundant number, since it is smaller than the sum of its proper divisors (18789818703480).

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

5413588992000 is an frugal number, since it uses more digits than its factorization.

5413588992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 5413588992000 in words is "five trillion, four hundred thirteen billion, five hundred eighty-eight million, nine hundred ninety-two thousand".