51786042000 has 960 divisors, whose sum is σ = 215934750720. Its totient is φ = 10555776000.

The previous prime is 51786041981. The next prime is 51786042017. The reversal of 51786042000 is 24068715.

It is a super-3 number, since 3×51786042000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 191 ways as a sum of consecutive naturals, for example, 216677881 + ... + 216678119.

It is an arithmetic number, because the mean of its divisors is an integer number (224932032).

Almost surely, 2^51786042000 is an apocalyptic number.

51786042000 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 51786042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107967375360).

51786042000 is an abundant number, since it is smaller than the sum of its proper divisors (164148708720).

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

51786042000 is a wasteful number, since it uses less digits than its factorization.

51786042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 51786042000 in words is "fifty-one billion, seven hundred eighty-six million, forty-two thousand".