51648067700 has 72 divisors (see below), whose sum is σ = 115861584384. Its totient is φ = 19963440000.

The previous prime is 51648067697. The next prime is 51648067717. The reversal of 51648067700 is 776084615.

51648067700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2161217 + ... + 2184983.

It is an arithmetic number, because the mean of its divisors is an integer number (1609188672).

Almost surely, 2^51648067700 is an apocalyptic number.

51648067700 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 51648067700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57930792192).

51648067700 is an abundant number, since it is smaller than the sum of its proper divisors (64213516684).

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

51648067700 is a wasteful number, since it uses less digits than its factorization.

51648067700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24513 (or 24506 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 51648067700 in words is "fifty-one billion, six hundred forty-eight million, sixty-seven thousand, seven hundred".