53586842400 has 1296 divisors, whose sum is σ = 247925006784. Its totient is φ = 10603560960.

The previous prime is 53586842359. The next prime is 53586842411. The reversal of 53586842400 is 424868535.

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 215 ways as a sum of consecutive naturals, for example, 189352659 + ... + 189352941.

Almost surely, 2^53586842400 is an apocalyptic number.

53586842400 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 53586842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123962503392).

53586842400 is an abundant number, since it is smaller than the sum of its proper divisors (194338164384).

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

53586842400 is a wasteful number, since it uses less digits than its factorization.

53586842400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 53586842400 in words is "fifty-three billion, five hundred eighty-six million, eight hundred forty-two thousand, four hundred".