52139216121000 has 512 divisors, whose sum is σ = 174307049280000. Its totient is φ = 12929359872000.

The previous prime is 52139216120933. The next prime is 52139216121011. The reversal of 52139216121000 is 12161293125.

It is a happy number.

It is a Cunningham number, because it is equal to 7220749²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7711757620 + ... + 7711764380.

It is an arithmetic number, because the mean of its divisors is an integer number (340443455625).

Almost surely, 2^{52139216121000} is an apocalyptic number.

52139216121000 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 52139216121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87153524640000).

52139216121000 is an abundant number, since it is smaller than the sum of its proper divisors (122167833159000).

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

52139216121000 is a wasteful number, since it uses less digits than its factorization.

52139216121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8590 (or 8576 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 52139216121000 in words is "fifty-two trillion, one hundred thirty-nine billion, two hundred sixteen million, one hundred twenty-one thousand".