53788838400 has 480 divisors, whose sum is σ = 215394696000. Its totient is φ = 13038796800.

The previous prime is 53788838357. The next prime is 53788838429. The reversal of 53788838400 is 483888735.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3794526 + ... + 3808674.

It is an arithmetic number, because the mean of its divisors is an integer number (448738950).

Almost surely, 2^53788838400 is an apocalyptic number.

53788838400 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 53788838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107697348000).

53788838400 is an abundant number, since it is smaller than the sum of its proper divisors (161605857600).

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

53788838400 is a wasteful number, since it uses less digits than its factorization.

53788838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14197 (or 14170 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 53788838400 in words is "fifty-three billion, seven hundred eighty-eight million, eight hundred thirty-eight thousand, four hundred".