5812980468750 has 960 divisors, whose sum is σ = 20474997903360. Its totient is φ = 1158300000000.

The previous prime is 5812980468739. The next prime is 5812980468781. The reversal of 5812980468750 is 578640892185.

5812980468750 is a `hidden beast` number, since 5 + 8 + 1 + 29 + 80 + 468 + 75 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 73582031211 + ... + 73582031289.

It is an arithmetic number, because the mean of its divisors is an integer number (21328122816).

Almost surely, 2^{5812980468750} is an apocalyptic number.

5812980468750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5812980468750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10237498951680).

5812980468750 is an abundant number, since it is smaller than the sum of its proper divisors (14662017434610).

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

5812980468750 is an frugal number, since it uses more digits than its factorization.

5812980468750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 5812980468750 in words is "five trillion, eight hundred twelve billion, nine hundred eighty million, four hundred sixty-eight thousand, seven hundred fifty".