51378918028416 has 384 divisors, whose sum is σ = 161739433440000. Its totient is φ = 15525934848000.

The previous prime is 51378918028409. The next prime is 51378918028433. The reversal of 51378918028416 is 61482081987315.

51378918028416 is a `hidden beast` number, since 5 + 1 + 37 + 8 + 9 + 180 + 2 + 8 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11046851691 + ... + 11046856341.

It is an arithmetic number, because the mean of its divisors is an integer number (421196441250).

It is a 1-persistent number, because it is pandigital, but 2⋅51378918028416 = 102757836056832 is not.

Almost surely, 2^{51378918028416} 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 51378918028416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80869716720000).

51378918028416 is an abundant number, since it is smaller than the sum of its proper divisors (110360515411584).

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

51378918028416 is a wasteful number, since it uses less digits than its factorization.

51378918028416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6928 (or 6913 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 51378918028416 in words is "fifty-one trillion, three hundred seventy-eight billion, nine hundred eighteen million, twenty-eight thousand, four hundred sixteen".