53810072800 has 576 divisors, whose sum is σ = 161017694208. Its totient is φ = 17326080000.

The previous prime is 53810072791. The next prime is 53810072803. The reversal of 53810072800 is 827001835.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53810072803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 190141459 + ... + 190141741.

It is an arithmetic number, because the mean of its divisors is an integer number (279544608).

Almost surely, 2^53810072800 is an apocalyptic number.

53810072800 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 53810072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80508847104).

53810072800 is an abundant number, since it is smaller than the sum of its proper divisors (107207621408).

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

53810072800 is a wasteful number, since it uses less digits than its factorization.

53810072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 53810072800 in words is "fifty-three billion, eight hundred ten million, seventy-two thousand, eight hundred".