51352705404 has 864 divisors, whose sum is σ = 190192128000. Its totient is φ = 11855289600.

The previous prime is 51352705387. The next prime is 51352705441. The reversal of 51352705404 is 40450725315.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 258053697 + ... + 258053895.

Almost surely, 2^51352705404 is an apocalyptic number.

51352705404 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 51352705404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95096064000).

51352705404 is an abundant number, since it is smaller than the sum of its proper divisors (138839422596).

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

51352705404 is a wasteful number, since it uses less digits than its factorization.

51352705404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 51352705404 in words is "fifty-one billion, three hundred fifty-two million, seven hundred five thousand, four hundred four".