51901091020800 has 2880 divisors, whose sum is σ = 230344077348000. Its totient is φ = 11415217766400.

The previous prime is 51901091020799. The next prime is 51901091020829. The reversal of 51901091020800 is 802019010915.

51901091020800 is a `hidden beast` number, since 519 + 0 + 109 + 10 + 20 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 710973849564 + ... + 710973849636.

Almost surely, 2^{51901091020800} is an apocalyptic number.

51901091020800 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 51901091020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115172038674000).

51901091020800 is an abundant number, since it is smaller than the sum of its proper divisors (178442986327200).

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

51901091020800 is an frugal number, since it uses more digits than its factorization.

51901091020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 51901091020800 in words is "fifty-one trillion, nine hundred one billion, ninety-one million, twenty thousand, eight hundred".