5229121978800 has 480 divisors, whose sum is σ = 18723333058560. Its totient is φ = 1386097920000.

The previous prime is 5229121978777. The next prime is 5229121978811. The reversal of 5229121978800 is 88791219225.

5229121978800 is a `hidden beast` number, since 522 + 9 + 1 + 21 + 97 + 8 + 8 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1889815017 + ... + 1889817783.

It is an arithmetic number, because the mean of its divisors is an integer number (39006943872).

Almost surely, 2^{5229121978800} is an apocalyptic number.

5229121978800 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 5229121978800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9361666529280).

5229121978800 is an abundant number, since it is smaller than the sum of its proper divisors (13494211079760).

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

5229121978800 is a wasteful number, since it uses less digits than its factorization.

5229121978800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 5229121978800 in words is "five trillion, two hundred twenty-nine billion, one hundred twenty-one million, nine hundred seventy-eight thousand, eight hundred".