53874624000 has 160 divisors (see below), whose sum is σ = 179120294496. Its totient is φ = 14366515200.

The previous prime is 53874623983. The next prime is 53874624029. The reversal of 53874624000 is 42647835.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×53874624000² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53874624000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51702 + ... + 332298.

Almost surely, 2^53874624000 is an apocalyptic number.

53874624000 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 53874624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89560147248).

53874624000 is an abundant number, since it is smaller than the sum of its proper divisors (125245670496).

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

53874624000 is an equidigital number, since it uses as much as digits as its factorization.

53874624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280633 (or 280607 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 53874624000 in words is "fifty-three billion, eight hundred seventy-four million, six hundred twenty-four thousand".