53906428800 has 1536 divisors, whose sum is σ = 245877120000. Its totient is φ = 11488296960.

The previous prime is 53906428657. The next prime is 53906428801. The reversal of 53906428800 is 882460935.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53906428801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 503798347 + ... + 503798453.

It is an arithmetic number, because the mean of its divisors is an integer number (160076250).

Almost surely, 2^53906428800 is an apocalyptic number.

53906428800 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 53906428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122938560000).

53906428800 is an abundant number, since it is smaller than the sum of its proper divisors (191970691200).

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

53906428800 is a wasteful number, since it uses less digits than its factorization.

53906428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 53906428800 in words is "fifty-three billion, nine hundred six million, four hundred twenty-eight thousand, eight hundred".