5214828776976 has 480 divisors, whose sum is σ = 18574413661440. Its totient is φ = 1329237651456.

The previous prime is 5214828776933. The next prime is 5214828776977. The reversal of 5214828776976 is 6796778284125.

It is a happy number.

5214828776976 is a `hidden beast` number, since 5 + 2 + 1 + 482 + 8 + 7 + 76 + 9 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (5214828776977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46476270 + ... + 46588338.

It is an arithmetic number, because the mean of its divisors is an integer number (38696695128).

Almost surely, 2^{5214828776976} is an apocalyptic number.

5214828776976 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 5214828776976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9287206830720).

5214828776976 is an abundant number, since it is smaller than the sum of its proper divisors (13359584884464).

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

5214828776976 is a wasteful number, since it uses less digits than its factorization.

5214828776976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112223 (or 112214 counting only the distinct ones).

The product of its digits is 568995840, while the sum is 72.

The spelling of 5214828776976 in words is "five trillion, two hundred fourteen billion, eight hundred twenty-eight million, seven hundred seventy-six thousand, nine hundred seventy-six".