52029738097920 has 2160 divisors, whose sum is σ = 211819468996800. Its totient is φ = 12092311756800.

The previous prime is 52029738097837. The next prime is 52029738097957. The reversal of 52029738097920 is 2979083792025.

52029738097920 is a `hidden beast` number, since 520 + 2 + 9 + 7 + 3 + 80 + 9 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 486259234507 + ... + 486259234613.

It is an arithmetic number, because the mean of its divisors is an integer number (98064568980).

Almost surely, 2^{52029738097920} 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 52029738097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105909734498400).

52029738097920 is an abundant number, since it is smaller than the sum of its proper divisors (159789730898880).

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

52029738097920 is an equidigital number, since it uses as much as digits as its factorization.

52029738097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 52029738097920 in words is "fifty-two trillion, twenty-nine billion, seven hundred thirty-eight million, ninety-seven thousand, nine hundred twenty".