51667447104 has 672 divisors, whose sum is σ = 193189799040. Its totient is φ = 13419012096.

The previous prime is 51667447037. The next prime is 51667447123. The reversal of 51667447104 is 40174476615.

51667447104 is a `hidden beast` number, since 51 + 66 + 74 + 471 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 51667447104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80353407 + ... + 80354049.

It is an arithmetic number, because the mean of its divisors is an integer number (287484820).

Almost surely, 2^51667447104 is an apocalyptic number.

51667447104 is a gapful number since it is divisible by the number (54) 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 51667447104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96594899520).

51667447104 is an abundant number, since it is smaller than the sum of its proper divisors (141522351936).

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

51667447104 is a wasteful number, since it uses less digits than its factorization.

51667447104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 51667447104 in words is "fifty-one billion, six hundred sixty-seven million, four hundred forty-seven thousand, one hundred four".