55835512012800 has 3192 divisors, whose sum is σ = 238753756698240. Its totient is φ = 12842119987200.

The previous prime is 55835512012793. The next prime is 55835512012801. The reversal of 55835512012800 is 821021553855.

55835512012800 is a `hidden beast` number, since 5 + 5 + 8 + 3 + 5 + 512 + 0 + 128 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55835512012801) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1801145548785 + ... + 1801145548815.

Almost surely, 2^{55835512012800} is an apocalyptic number.

55835512012800 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 55835512012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119376878349120).

55835512012800 is an abundant number, since it is smaller than the sum of its proper divisors (182918244685440).

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

55835512012800 is an frugal number, since it uses more digits than its factorization.

55835512012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 45.

The spelling of 55835512012800 in words is "fifty-five trillion, eight hundred thirty-five billion, five hundred twelve million, twelve thousand, eight hundred".