52695770400 has 2304 divisors, whose sum is σ = 264583065600. Its totient is φ = 9794027520.

The previous prime is 52695770377. The next prime is 52695770411. The reversal of 52695770400 is 407759625.

52695770400 is a `hidden beast` number, since 526 + 9 + 57 + 70 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 634888759 + ... + 634888841.

It is an arithmetic number, because the mean of its divisors is an integer number (114836400).

Almost surely, 2^52695770400 is an apocalyptic number.

52695770400 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 52695770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132291532800).

52695770400 is an abundant number, since it is smaller than the sum of its proper divisors (211887295200).

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

52695770400 is a wasteful number, since it uses less digits than its factorization.

52695770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 52695770400 in words is "fifty-two billion, six hundred ninety-five million, seven hundred seventy thousand, four hundred".