53814240000 has 360 divisors, whose sum is σ = 198875027120. Its totient is φ = 14349312000.

The previous prime is 53814239989. The next prime is 53814240001. The reversal of 53814240000 is 4241835.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53814240001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4313772 + ... + 4326228.

Almost surely, 2^53814240000 is an apocalyptic number.

53814240000 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 53814240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99437513560).

53814240000 is an abundant number, since it is smaller than the sum of its proper divisors (145060787120).

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

53814240000 is an equidigital number, since it uses as much as digits as its factorization.

53814240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12502 (or 12467 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 53814240000 its reverse (4241835), we get a palindrome (53818481835).

The spelling of 53814240000 in words is "fifty-three billion, eight hundred fourteen million, two hundred forty thousand".