53893382400 has 1080 divisors, whose sum is σ = 234427537344. Its totient is φ = 12043468800.

The previous prime is 53893382399. The next prime is 53893382401. The reversal of 53893382400 is 428339835.

53893382400 is a `hidden beast` number, since 538 + 9 + 33 + 82 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53893382399) and next prime (53893382401).

It is a tau number, because it is divible by the number of its divisors (1080).

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 (53893382401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 74130837 + ... + 74131563.

Almost surely, 2^53893382400 is an apocalyptic number.

53893382400 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 53893382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117213768672).

53893382400 is an abundant number, since it is smaller than the sum of its proper divisors (180534154944).

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

53893382400 is a wasteful number, since it uses less digits than its factorization.

53893382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 761 counting only the distinct ones).

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

The spelling of 53893382400 in words is "fifty-three billion, eight hundred ninety-three million, three hundred eighty-two thousand, four hundred".