52402215600 has 480 divisors, whose sum is σ = 222432906240. Its totient is φ = 11456501760.

The previous prime is 52402215599. The next prime is 52402215647. The reversal of 52402215600 is 651220425.

52402215600 is a `hidden beast` number, since 5 + 2 + 40 + 2 + 2 + 15 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1723732 + ... + 1753868.

It is an arithmetic number, because the mean of its divisors is an integer number (463401888).

Almost surely, 2^52402215600 is an apocalyptic number.

52402215600 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 52402215600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111216453120).

52402215600 is an abundant number, since it is smaller than the sum of its proper divisors (170030690640).

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

52402215600 is a wasteful number, since it uses less digits than its factorization.

52402215600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30194 (or 30177 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 52402215600 in words is "fifty-two billion, four hundred two million, two hundred fifteen thousand, six hundred".