51354777600000 has 3600 divisors, whose sum is σ = 230439657792960. Its totient is φ = 11147673600000.

The previous prime is 51354777599989. The next prime is 51354777600041. The reversal of 51354777600000 is 677745315.

51354777600000 is a `hidden beast` number, since 5 + 1 + 35 + 4 + 7 + 7 + 7 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 841881599970 + ... + 841881600030.

Almost surely, 2^{51354777600000} is an apocalyptic number.

51354777600000 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 51354777600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115219828896480).

51354777600000 is an abundant number, since it is smaller than the sum of its proper divisors (179084880192960).

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

51354777600000 is an frugal number, since it uses more digits than its factorization.

51354777600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 51354777600000 in words is "fifty-one trillion, three hundred fifty-four billion, seven hundred seventy-seven million, six hundred thousand".