52518470400 has 324 divisors, whose sum is σ = 204837436440. Its totient is φ = 12731596800.

The previous prime is 52518470393. The next prime is 52518470419. The reversal of 52518470400 is 407481525.

52518470400 is a `hidden beast` number, since 5 + 2 + 5 + 184 + 70 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 592156 + ... + 675044.

It is an arithmetic number, because the mean of its divisors is an integer number (632214310).

Almost surely, 2^52518470400 is an apocalyptic number.

52518470400 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 52518470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102418718220).

52518470400 is an abundant number, since it is smaller than the sum of its proper divisors (152318966040).

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

52518470400 is a wasteful number, since it uses less digits than its factorization.

52518470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82932 (or 82910 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 52518470400 in words is "fifty-two billion, five hundred eighteen million, four hundred seventy thousand, four hundred".