51377686477000 has 512 divisors, whose sum is σ = 135111746165760. Its totient is φ = 18161418240000.

The previous prime is 51377686476971. The next prime is 51377686477001. The reversal of 51377686477000 is 77468677315.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 51377686477000.

It is not an unprimeable number, because it can be changed into a prime (51377686477001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21890789827 + ... + 21890792173.

It is an arithmetic number, because the mean of its divisors is an integer number (263890129230).

Almost surely, 2^{51377686477000} is an apocalyptic number.

51377686477000 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 51377686477000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67555873082880).

51377686477000 is an abundant number, since it is smaller than the sum of its proper divisors (83734059688760).

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

51377686477000 is a wasteful number, since it uses less digits than its factorization.

51377686477000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 61.

The spelling of 51377686477000 in words is "fifty-one trillion, three hundred seventy-seven billion, six hundred eighty-six million, four hundred seventy-seven thousand".