52105478880 has 288 divisors, whose sum is σ = 205617442464. Its totient is φ = 10993618944.

The previous prime is 52105478863. The next prime is 52105478881. The reversal of 52105478880 is 8887450125.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52105478881) 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, 220554 + ... + 390966.

It is an arithmetic number, because the mean of its divisors is an integer number (713949453).

Almost surely, 2^52105478880 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 52105478880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102808721232).

52105478880 is an abundant number, since it is smaller than the sum of its proper divisors (153511963584).

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

52105478880 is a wasteful number, since it uses less digits than its factorization.

52105478880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170458 (or 170443 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 48.

The spelling of 52105478880 in words is "fifty-two billion, one hundred five million, four hundred seventy-eight thousand, eight hundred eighty".