53648438400 has 480 divisors, whose sum is σ = 206605080000. Its totient is φ = 13682718720.

The previous prime is 53648438383. The next prime is 53648438419. The reversal of 53648438400 is 483484635.

53648438400 is a `hidden beast` number, since 536 + 4 + 84 + 38 + 4 + 0 + 0 = 666.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5957101 + ... + 5966099.

It is an arithmetic number, because the mean of its divisors is an integer number (430427250).

Almost surely, 2^53648438400 is an apocalyptic number.

53648438400 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 53648438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103302540000).

53648438400 is an abundant number, since it is smaller than the sum of its proper divisors (152956641600).

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

53648438400 is a wasteful number, since it uses less digits than its factorization.

53648438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9058 (or 9032 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 53648438400 in words is "fifty-three billion, six hundred forty-eight million, four hundred thirty-eight thousand, four hundred".