51626496000 has 832 divisors, whose sum is σ = 190136044800. Its totient is φ = 12386304000.

The previous prime is 51626495953. The next prime is 51626496017. The reversal of 51626496000 is 69462615.

It is a self number, because there is not a number n which added to its sum of digits gives 51626496000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 846335970 + ... + 846336030.

It is an arithmetic number, because the mean of its divisors is an integer number (228528900).

Almost surely, 2^51626496000 is an apocalyptic number.

51626496000 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 51626496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95068022400).

51626496000 is an abundant number, since it is smaller than the sum of its proper divisors (138509548800).

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

51626496000 is a wasteful number, since it uses less digits than its factorization.

51626496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 51626496000 in words is "fifty-one billion, six hundred twenty-six million, four hundred ninety-six thousand".