5283319392000 has 1152 divisors, whose sum is σ = 21567476286720. Its totient is φ = 1265260953600.

The previous prime is 5283319391927. The next prime is 5283319392011. The reversal of 5283319392000 is 2939133825.

5283319392000 is a `hidden beast` number, since 5 + 28 + 331 + 93 + 9 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 415577644 + ... + 415590356.

It is an arithmetic number, because the mean of its divisors is an integer number (18721767610).

Almost surely, 2^{5283319392000} is an apocalyptic number.

5283319392000 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 5283319392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10783738143360).

5283319392000 is an abundant number, since it is smaller than the sum of its proper divisors (16284156894720).

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

5283319392000 is a wasteful number, since it uses less digits than its factorization.

5283319392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12803 (or 12773 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 5283319392000 in words is "five trillion, two hundred eighty-three billion, three hundred nineteen million, three hundred ninety-two thousand".