53075337420400 has 240 divisors, whose sum is σ = 135038392128640. Its totient is φ = 19990957593600.

The previous prime is 53075337420397. The next prime is 53075337420407. The reversal of 53075337420400 is 402473357035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53075337420407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2865365539 + ... + 2865384061.

Almost surely, 2^{53075337420400} is an apocalyptic number.

53075337420400 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 53075337420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67519196064320).

53075337420400 is an abundant number, since it is smaller than the sum of its proper divisors (81963054708240).

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

53075337420400 is a wasteful number, since it uses less digits than its factorization.

53075337420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20824 (or 20813 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 43.

The spelling of 53075337420400 in words is "fifty-three trillion, seventy-five billion, three hundred thirty-seven million, four hundred twenty thousand, four hundred".