53241824724000 has 384 divisors, whose sum is σ = 190295763001344. Its totient is φ = 12905809280000.

The previous prime is 53241824723999. The next prime is 53241824724059. The reversal of 53241824724000 is 42742814235.

It is a happy number.

It is a super-2 number, since 2×53241824724000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2282400337 + ... + 2282423663.

It is an arithmetic number, because the mean of its divisors is an integer number (495561882816).

Almost surely, 2^{53241824724000} is an apocalyptic number.

53241824724000 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 53241824724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95147881500672).

53241824724000 is an abundant number, since it is smaller than the sum of its proper divisors (137053938277344).

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

53241824724000 is a wasteful number, since it uses less digits than its factorization.

53241824724000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40657 (or 40639 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 53241824724000 in words is "fifty-three trillion, two hundred forty-one billion, eight hundred twenty-four million, seven hundred twenty-four thousand".