52052582400 has 1344 divisors, whose sum is σ = 227527104000. Its totient is φ = 10404495360.

The previous prime is 52052582399. The next prime is 52052582429. The reversal of 52052582400 is 428525025.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2739609591 + ... + 2739609609.

It is an arithmetic number, because the mean of its divisors is an integer number (169291000).

Almost surely, 2^52052582400 is an apocalyptic number.

52052582400 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 52052582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113763552000).

52052582400 is an abundant number, since it is smaller than the sum of its proper divisors (175474521600).

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

52052582400 is a wasteful number, since it uses less digits than its factorization.

52052582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The spelling of 52052582400 in words is "fifty-two billion, fifty-two million, five hundred eighty-two thousand, four hundred".