5976854016 has 320 divisors, whose sum is σ = 20293701120. Its totient is φ = 1521745920.

The previous prime is 5976854003. The next prime is 5976854017. The reversal of 5976854016 is 6104586795.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 5976854016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5976854017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3472036 + ... + 3473756.

It is an arithmetic number, because the mean of its divisors is an integer number (63417816).

Almost surely, 2^5976854016 is an apocalyptic number.

5976854016 is a gapful number since it is divisible by the number (56) 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 5976854016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10146850560).

5976854016 is an abundant number, since it is smaller than the sum of its proper divisors (14316847104).

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

5976854016 is a wasteful number, since it uses less digits than its factorization.

5976854016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The square root of 5976854016 is about 77310.1158710812. The cubic root of 5976854016 is about 1814.7809681880.

The spelling of 5976854016 in words is "five billion, nine hundred seventy-six million, eight hundred fifty-four thousand, sixteen".