5212985137920 has 864 divisors, whose sum is σ = 20882051334144. Its totient is φ = 1176079564800.

The previous prime is 5212985137889. The next prime is 5212985137961. The reversal of 5212985137920 is 297315892125.

5212985137920 is a `hidden beast` number, since 5 + 2 + 12 + 98 + 513 + 7 + 9 + 20 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2469437665 + ... + 2469439775.

It is an arithmetic number, because the mean of its divisors is an integer number (24169040896).

Almost surely, 2^{5212985137920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5212985137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10441025667072).

5212985137920 is an abundant number, since it is smaller than the sum of its proper divisors (15669066196224).

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

5212985137920 is a wasteful number, since it uses less digits than its factorization.

5212985137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 5212985137920 in words is "five trillion, two hundred twelve billion, nine hundred eighty-five million, one hundred thirty-seven thousand, nine hundred twenty".