51428205504000 has 1280 divisors, whose sum is σ = 204950569824000. Its totient is φ = 12637480550400.

The previous prime is 51428205503963. The next prime is 51428205504041. The reversal of 51428205504000 is 40550282415.

51428205504000 is a `hidden beast` number, since 5 + 1 + 42 + 8 + 20 + 550 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15926974386 + ... + 15926977614.

It is an arithmetic number, because the mean of its divisors is an integer number (160117632675).

Almost surely, 2^{51428205504000} is an apocalyptic number.

51428205504000 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 51428205504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102475284912000).

51428205504000 is an abundant number, since it is smaller than the sum of its proper divisors (153522364320000).

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

51428205504000 is a wasteful number, since it uses less digits than its factorization.

51428205504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 51428205504000 its reverse (40550282415), we get a palindrome (51468755786415).

The spelling of 51428205504000 in words is "fifty-one trillion, four hundred twenty-eight billion, two hundred five million, five hundred four thousand".