51855184788480 has 264 divisors, whose sum is σ = 180166506391872. Its totient is φ = 13790366171136.

The previous prime is 51855184788419. The next prime is 51855184788577. The reversal of 51855184788480 is 8488748155815.

It is a happy number.

51855184788480 is a `hidden beast` number, since 5 + 1 + 8 + 55 + 18 + 4 + 7 + 88 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 51855184788399 and 51855184788408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15378214 + ... + 18444506.

It is an arithmetic number, because the mean of its divisors is an integer number (682448887848).

Almost surely, 2^{51855184788480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51855184788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90083253195936).

51855184788480 is an abundant number, since it is smaller than the sum of its proper divisors (128311321603392).

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

51855184788480 is a wasteful number, since it uses less digits than its factorization.

51855184788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066691 (or 3066670 counting only the distinct ones).

The product of its (nonzero) digits is 458752000, while the sum is 72.

The spelling of 51855184788480 in words is "fifty-one trillion, eight hundred fifty-five billion, one hundred eighty-four million, seven hundred eighty-eight thousand, four hundred eighty".