51855504390144 has 1344 divisors, whose sum is σ = 194499880585920. Its totient is φ = 13449827450880.

The previous prime is 51855504390143. The next prime is 51855504390149. The reversal of 51855504390144 is 44109340555815.

51855504390144 is a `hidden beast` number, since 5 + 1 + 8 + 5 + 5 + 504 + 3 + 90 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51855504390143) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8287595464 + ... + 8287601720.

It is an arithmetic number, because the mean of its divisors is an integer number (144717173055).

Almost surely, 2^{51855504390144} is an apocalyptic number.

51855504390144 is a gapful number since it is divisible by the number (54) 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 51855504390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97249940292960).

51855504390144 is an abundant number, since it is smaller than the sum of its proper divisors (142644376195776).

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

51855504390144 is an equidigital number, since it uses as much as digits as its factorization.

51855504390144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6378 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 51855504390144 in words is "fifty-one trillion, eight hundred fifty-five billion, five hundred four million, three hundred ninety thousand, one hundred forty-four".