53228966400 has 960 divisors, whose sum is σ = 208240243200. Its totient is φ = 13294632960.

The previous prime is 53228966303. The next prime is 53228966443. The reversal of 53228966400 is 466982235.

53228966400 is a `hidden beast` number, since 532 + 28 + 96 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 471052744 + ... + 471052856.

It is an arithmetic number, because the mean of its divisors is an integer number (216916920).

Almost surely, 2^53228966400 is an apocalyptic number.

53228966400 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 53228966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104120121600).

53228966400 is an abundant number, since it is smaller than the sum of its proper divisors (155011276800).

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

53228966400 is a wasteful number, since it uses less digits than its factorization.

53228966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 53228966400 in words is "fifty-three billion, two hundred twenty-eight million, nine hundred sixty-six thousand, four hundred".