51573866400000 has 2160 divisors, whose sum is σ = 223087427240832. Its totient is φ = 11605524480000.

The previous prime is 51573866399959. The next prime is 51573866400013. The reversal of 51573866400000 is 466837515.

51573866400000 is a `hidden beast` number, since 5 + 157 + 38 + 66 + 400 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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, 30391199152 + ... + 30391200848.

Almost surely, 2^{51573866400000} is an apocalyptic number.

51573866400000 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 51573866400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111543713620416).

51573866400000 is an abundant number, since it is smaller than the sum of its proper divisors (171513560840832).

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

51573866400000 is an frugal number, since it uses more digits than its factorization.

51573866400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 51573866400000 in words is "fifty-one trillion, five hundred seventy-three billion, eight hundred sixty-six million, four hundred thousand".