52757690400 has 216 divisors, whose sum is σ = 186178958784. Its totient is φ = 14057971200.

The previous prime is 52757690369. The next prime is 52757690407. The reversal of 52757690400 is 409675725.

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

It is not an unprimeable number, because it can be changed into a prime (52757690407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15024645 + ... + 15028155.

It is an arithmetic number, because the mean of its divisors is an integer number (861939624).

Almost surely, 2^52757690400 is an apocalyptic number.

52757690400 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 52757690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93089479392).

52757690400 is an abundant number, since it is smaller than the sum of its proper divisors (133421268384).

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

52757690400 is a wasteful number, since it uses less digits than its factorization.

52757690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5624 (or 5608 counting only the distinct ones).

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

The spelling of 52757690400 in words is "fifty-two billion, seven hundred fifty-seven million, six hundred ninety thousand, four hundred".