53935081200000 has 3840 divisors, whose sum is σ = 269532028846080. Its totient is φ = 10338969600000.

The previous prime is 53935081199983. The next prime is 53935081200001. The reversal of 53935081200000 is 218053935.

53935081200000 is a `hidden beast` number, since 53 + 93 + 508 + 12 + 0 + 0 + 0 + 0 + 0 = 666.

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 (53935081200001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 32432399169 + ... + 32432400831.

It is an arithmetic number, because the mean of its divisors is an integer number (70190632512).

Almost surely, 2^{53935081200000} is an apocalyptic number.

53935081200000 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 53935081200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134766014423040).

53935081200000 is an abundant number, since it is smaller than the sum of its proper divisors (215596947646080).

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

53935081200000 is a wasteful number, since it uses less digits than its factorization.

53935081200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 53935081200000 its reverse (218053935), we get a palindrome (53935299253935).

The spelling of 53935081200000 in words is "fifty-three trillion, nine hundred thirty-five billion, eighty-one million, two hundred thousand".