53430508800 has 648 divisors, whose sum is σ = 205919820288. Its totient is φ = 13178880000.

The previous prime is 53430508799. The next prime is 53430508801. The reversal of 53430508800 is 880503435.

It is an interprime number because it is at equal distance from previous prime (53430508799) and next prime (53430508801).

It is a super-3 number, since 3×53430508800³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53430508801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41068150 + ... + 41069450.

Almost surely, 2^53430508800 is an apocalyptic number.

53430508800 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 53430508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102959910144).

53430508800 is an abundant number, since it is smaller than the sum of its proper divisors (152489311488).

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

53430508800 is a wasteful number, since it uses less digits than its factorization.

53430508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 53430508800 in words is "fifty-three billion, four hundred thirty million, five hundred eight thousand, eight hundred".