51735690040320 has 4224 divisors, whose sum is σ = 233612459458560. Its totient is φ = 10797955153920.

The previous prime is 51735690040313. The next prime is 51735690040369. The reversal of 51735690040320 is 2304009653715.

51735690040320 is a `hidden beast` number, since 5 + 17 + 3 + 569 + 0 + 0 + 40 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 192325985146 + ... + 192325985414.

Almost surely, 2^{51735690040320} 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 51735690040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116806229729280).

51735690040320 is an abundant number, since it is smaller than the sum of its proper divisors (181876769418240).

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

51735690040320 is a wasteful number, since it uses less digits than its factorization.

51735690040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 51735690040320 in words is "fifty-one trillion, seven hundred thirty-five billion, six hundred ninety million, forty thousand, three hundred twenty".