51081913036800 has 936 divisors, whose sum is σ = 184451769294000. Its totient is φ = 13511688192000.

The previous prime is 51081913036771. The next prime is 51081913036831. The reversal of 51081913036800 is 863031918015.

It is a happy number.

51081913036800 is a `hidden beast` number, since 510 + 8 + 19 + 13 + 0 + 36 + 80 + 0 = 666.

51081913036800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102368562951 + ... + 102368563449.

Almost surely, 2^{51081913036800} is an apocalyptic number.

51081913036800 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 51081913036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92225884647000).

51081913036800 is an abundant number, since it is smaller than the sum of its proper divisors (133369856257200).

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

51081913036800 is a wasteful number, since it uses less digits than its factorization.

51081913036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 51081913036800 in words is "fifty-one trillion, eighty-one billion, nine hundred thirteen million, thirty-six thousand, eight hundred".