51805417500 has 540 divisors, whose sum is σ = 180135988032. Its totient is φ = 12533760000.

The previous prime is 51805417481. The next prime is 51805417523. The reversal of 51805417500 is 571450815.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 201577372 + ... + 201577628.

Almost surely, 2^51805417500 is an apocalyptic number.

51805417500 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 51805417500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90067994016).

51805417500 is an abundant number, since it is smaller than the sum of its proper divisors (128330570532).

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

51805417500 is a wasteful number, since it uses less digits than its factorization.

51805417500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 51805417500 in words is "fifty-one billion, eight hundred five million, four hundred seventeen thousand, five hundred".