51394900377600 has 2880 divisors, whose sum is σ = 212152746355200. Its totient is φ = 12118476718080.

The previous prime is 51394900377599. The next prime is 51394900377617. The reversal of 51394900377600 is 677300949315.

It is a happy number.

51394900377600 is a `hidden beast` number, since 51 + 3 + 9 + 490 + 0 + 37 + 76 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 619215667159 + ... + 619215667241.

It is an arithmetic number, because the mean of its divisors is an integer number (73664148040).

Almost surely, 2^{51394900377600} is an apocalyptic number.

51394900377600 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 51394900377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106076373177600).

51394900377600 is an abundant number, since it is smaller than the sum of its proper divisors (160757845977600).

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

51394900377600 is a wasteful number, since it uses less digits than its factorization.

51394900377600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 51394900377600 in words is "fifty-one trillion, three hundred ninety-four billion, nine hundred million, three hundred seventy-seven thousand, six hundred".