51377859000 has 576 divisors, whose sum is σ = 199204518240. Its totient is φ = 11896934400.

The previous prime is 51377858999. The next prime is 51377859023. The reversal of 51377859000 is 95877315.

51377859000 is a `hidden beast` number, since 51 + 3 + 7 + 7 + 8 + 590 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 25856007 + ... + 25857993.

Almost surely, 2^51377859000 is an apocalyptic number.

51377859000 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 51377859000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99602259120).

51377859000 is an abundant number, since it is smaller than the sum of its proper divisors (147826659240).

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

51377859000 is a wasteful number, since it uses less digits than its factorization.

51377859000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 51377859000 in words is "fifty-one billion, three hundred seventy-seven million, eight hundred fifty-nine thousand".