51006201286656 has 3328 divisors, whose sum is σ = 199578870743040. Its totient is φ = 11174003343360.

The previous prime is 51006201286633. The next prime is 51006201286681. The reversal of 51006201286656 is 65668210260015.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 761286586335 + ... + 761286586401.

Almost surely, 2^{51006201286656} is an apocalyptic number.

51006201286656 is a gapful number since it is divisible by the number (56) 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 51006201286656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99789435371520).

51006201286656 is an abundant number, since it is smaller than the sum of its proper divisors (148572669456384).

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

51006201286656 is a wasteful number, since it uses less digits than its factorization.

51006201286656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 51006201286656 in words is "fifty-one trillion, six billion, two hundred one million, two hundred eighty-six thousand, six hundred fifty-six".