53819020800 has 360 divisors, whose sum is σ = 194046772920. Its totient is φ = 14244249600.

The previous prime is 53819020757. The next prime is 53819020823. The reversal of 53819020800 is 802091835.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 16011120 + ... + 16014480.

Almost surely, 2^53819020800 is an apocalyptic number.

53819020800 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 53819020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97023386460).

53819020800 is an abundant number, since it is smaller than the sum of its proper divisors (140227752120).

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

53819020800 is a wasteful number, since it uses less digits than its factorization.

53819020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 53819020800 in words is "fifty-three billion, eight hundred nineteen million, twenty thousand, eight hundred".