53742603033600 has 1056 divisors, whose sum is σ = 201775228058880. Its totient is φ = 12506415759360.

The previous prime is 53742603033599. The next prime is 53742603033643. The reversal of 53742603033600 is 633030624735.

It is a super-2 number, since 2×53742603033600² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9921098092 + ... + 9921103508.

Almost surely, 2^{53742603033600} is an apocalyptic number.

53742603033600 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 53742603033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100887614029440).

53742603033600 is an abundant number, since it is smaller than the sum of its proper divisors (148032625025280).

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

53742603033600 is a wasteful number, since it uses less digits than its factorization.

53742603033600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6005 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 42.

The spelling of 53742603033600 in words is "fifty-three trillion, seven hundred forty-two billion, six hundred three million, thirty-three thousand, six hundred".