53543786400 has 432 divisors, whose sum is σ = 210873315744. Its totient is φ = 13179386880.

The previous prime is 53543786393. The next prime is 53543786411. The reversal of 53543786400 is 468734535.

53543786400 is a `hidden beast` number, since 535 + 4 + 3 + 78 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 71 ways as a sum of consecutive naturals, for example, 2516607 + ... + 2537793.

Almost surely, 2^53543786400 is an apocalyptic number.

53543786400 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 53543786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105436657872).

53543786400 is an abundant number, since it is smaller than the sum of its proper divisors (157329529344).

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

53543786400 is a wasteful number, since it uses less digits than its factorization.

53543786400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21235 (or 21210 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 53543786400 in words is "fifty-three billion, five hundred forty-three million, seven hundred eighty-six thousand, four hundred".