51677999352 has 336 divisors, whose sum is σ = 170343394200. Its totient is φ = 14647651200.

The previous prime is 51677999311. The next prime is 51677999407. The reversal of 51677999352 is 25399977615.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 51677999352.

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 83 ways as a sum of consecutive naturals, for example, 39721102 + ... + 39722402.

Almost surely, 2^51677999352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51677999352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85171697100).

51677999352 is an abundant number, since it is smaller than the sum of its proper divisors (118665394848).

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

51677999352 is a wasteful number, since it uses less digits than its factorization.

51677999352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1452 counting only the distinct ones).

The product of its digits is 32148900, while the sum is 63.

The spelling of 51677999352 in words is "fifty-one billion, six hundred seventy-seven million, nine hundred ninety-nine thousand, three hundred fifty-two".