53349004800 has 1080 divisors, whose sum is σ = 239505201936. Its totient is φ = 11240570880.

The previous prime is 53349004777. The next prime is 53349004811. The reversal of 53349004800 is 840094335.

53349004800 is a `hidden beast` number, since 533 + 49 + 0 + 0 + 4 + 80 + 0 = 666.

It is a super-2 number, since 2×53349004800² (a number of 22 digits) contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 73382037 + ... + 73382763.

Almost surely, 2^53349004800 is an apocalyptic number.

53349004800 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 53349004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119752600968).

53349004800 is an abundant number, since it is smaller than the sum of its proper divisors (186156197136).

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

53349004800 is a wasteful number, since it uses less digits than its factorization.

53349004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 53349004800 in words is "fifty-three billion, three hundred forty-nine million, four thousand, eight hundred".