51185156110452 has 288 divisors, whose sum is σ = 160061866997760. Its totient is φ = 13430107203840.

The previous prime is 51185156110447. The next prime is 51185156110463. The reversal of 51185156110452 is 25401165158115.

51185156110452 is a `hidden beast` number, since 5 + 1 + 1 + 85 + 1 + 5 + 6 + 110 + 452 = 666.

51185156110452 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 51185156110398 and 51185156110407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 532803199 + ... + 532899257.

It is an arithmetic number, because the mean of its divisors is an integer number (555770371520).

Almost surely, 2^{51185156110452} is an apocalyptic number.

51185156110452 is a gapful number since it is divisible by the number (52) 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 51185156110452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80030933498880).

51185156110452 is an abundant number, since it is smaller than the sum of its proper divisors (108876710887308).

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

51185156110452 is a wasteful number, since it uses less digits than its factorization.

51185156110452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96923 (or 96918 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 45.

The spelling of 51185156110452 in words is "fifty-one trillion, one hundred eighty-five billion, one hundred fifty-six million, one hundred ten thousand, four hundred fifty-two".