52100255442400 has 288 divisors, whose sum is σ = 139838056041600. Its totient is φ = 18797488281600.

The previous prime is 52100255442397. The next prime is 52100255442401. The reversal of 52100255442400 is 424455200125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52100255442401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2090436339 + ... + 2090461261.

It is an arithmetic number, because the mean of its divisors is an integer number (485548805700).

Almost surely, 2^{52100255442400} is an apocalyptic number.

52100255442400 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 52100255442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69919028020800).

52100255442400 is an abundant number, since it is smaller than the sum of its proper divisors (87737800599200).

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

52100255442400 is a wasteful number, since it uses less digits than its factorization.

52100255442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26802 (or 26789 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 34.

The spelling of 52100255442400 in words is "fifty-two trillion, one hundred billion, two hundred fifty-five million, four hundred forty-two thousand, four hundred".